James was the standout performer in the encounter, as he led the Heat with a game-high 30 points to push his side to the win and give Miami a 3-0 lead in the series.
"We're a veteran ballclub and we don't ever get too rattled," James told reporters after the game.
"We made adjustments and were able to fly around out there and make things turn around.
"I was able to jump their passing lane and getting those free throws late was a big momentum push for us to get the lead to 12."
The Heat will now face the Cats again when they meet for Game Four of the series on Monday.