5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is \( 124 \frac {4} {9} \), what is the product of the 3 terms of the geometric progression?

**Details and assumptions**

The phase "form an arithmetic progression" means that the values are consecutive terms of an arithmetic progression. Similarly, "form a geometric progression" means that the values are consecutive terms of a geometric progression.

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