52, 53, and 54
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Let's assume the first integer is x. The consecutive integers would be x, (x + 1), and (x + 2).
According to the problem, the sum of the first two integers is 51 more than the third integer.
So, we can write the equation as:
Simplifying the equation, we have:
Subtracting x and 1 from both sides, we get:
Hence, the three consecutive integers are 52, 53, and 54.