South Africa's fifth-wicket pair of Miller and Faf du Plessis (32-ball 35) put on display some sensational strokeplay at the business end of the innings and added 68 runs in just 48 deliveries to put their side in the driver's seat.
From 153 for four in the 23rd over, both took their side to 221 for five as the last five overs yielded 52 runs for the Proteas.
Earlier, Ingram hit 63-ball 73 laced with six fours and two sixes while skipper AB de Villiers hit a 25-ball 37 after South Africa were invited to bat first under overcast conditions at Sophia Gardens.
The match started three hours and 15 minutes late than the scheduled toss due to inclement weather, reducing it to a 31-over-a-side encounter. The match was reduced by 19 overs each way, with the Powerplay adjusted to nine overs a side, with six mandatory overs upfront, and three for the batting Powerplay.
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Ingram was the more aggressive of the two as he mixed caution with aggression to pace his innings while Amla was content to play the second fiddle at the other end.
Ingram brought up his fifty in the 12th over with a powerful pull shot played over mid-wicket off Darren Sammy.
With the pair of Ingram and Amla looking threatening, West skipper Dwayne Bravo introduced off-spinner Marlon Samuels into the attack and the move paid immediate dividends.