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The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

What three numbers should be placed between 12 and 60?

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,

It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.

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