The Heat, who host game four on Tuesday, are one win away from reaching the NBA Finals against either the Denver Nuggets or Los Angeles Lakers.

The Celtics meanwhile are battling the weight of history -- no NBA team has rallied from 0-3 down to win a best-of-seven playoff series. 

Heat talisman Jimmy Butler could afford a relatively quiet 16-point night as point guard Gabe Vincent led the way, connecting on 11 of 14 shots from the field, including six of nine from three-point range, on the way to a game-high 29 points.

Duncan Robinson added 22 points off the bench for Miami, who are vying to become just the second eighth-seeded team -- after the 1999 New York Knicks -- to reach the NBA Finals.

Unlike in their first two wins of the series in Boston, there would be no need for the Heat to claw back a double-digit deficit.

In front of a pumped-up crowd at Kaseya Center in Miami, the Heat dominated, Boston unable to build on an early three-point lead in the face of a total team effort from the hosts on both ends of the floor.

"I don't know if 'surprised' is the word," Vincent said of the lopsided result. "We played well tonight. We defended. We made shots. We forced them into turnovers."

"The next game, the mentality is to come out and compete at a high level, defend, try to make the right read every time offensively and just play good basketball.

"It's the first to four games. We are not satisfied with three."

Boston star Jayson Tatum scored 14 points and Jaylen Brown added 12, but Tatum made just one of his seven three-point attempts and Brown missed all seven of his as the Celtics connected on just 11 of their 42 three-point attempts.

Miami made 19 three-pointers on 39 attempts, connecting on 46 of their 81 shots overall.

"As you can tell, the rim was as big as the ocean for everybody," said Miami center Bam Adebayo, who thrilled the crowd with a pair of alley oop dunks and a spin around Brown for a one-handed slam on the way to 13 points.

"(We were) making the extra pass, making the right pass and everybody played together."

Caleb Martin scored 18 points off the bench for Miami. Max Strus chipped in 10 and the Heat didn't miss a beat when veteran Kevin Love departed after less than five minutes with an ankle injury.

The Heat closed a fast-paced, physical first quarter on a 9-2 scoring run to lead 30-22 and pushed their lead to as many as 22 points in the second quarter.

Boston managed to cut the gap, but with the Celtics again struggling from three-point range and with turnovers, Miami's 61-46 halftime lead represented the biggest halftime deficit faced by Boston this post-season.

There would be no re-set for the Celtics in the third quarter. They had managed to trim the deficit to 12 early in the second half, but Miami out-scored them 32-17 to take a 93-63 lead into the fourth.
                  
'Just embarrassing'   
          
Tatum and Brown combined for just three baskets in the third, Miami's dominance evident on back-to-back Boston possessions midway through the period when Adebayo blocked Tatum's shot on one and Martin came up with a steal to set up a Strus three-pointer.

The shell-shocked Celtics went more than three minutes in the period without scoring.

"I don't even know where to start," Brown said. "I feel like we let our fan base, organization down, we let ourselves down, and it was collective. We could point fingers, but in reality, it was just embarrassing."

Boston's first-year coach Joe Mazzulla, who took the helm after Ime Udoka was abruptly suspended before the season for an improper workplace relationship, took the blame for the Celtics' disjointed performance.

"I just didn't have them ready to play," Mazzulla said. "Whether it was the starting lineup or it was an adjustment, I have to get them in a better place ready to play, and that's on me."