Find the average of the cubes of the first five natural numbers.

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**Solution:**

1. The first five natural numbers are: 1, 2, 3, 4, 5.

2. Calculate the cubes of each:
   - $1^3 = 1$
   - $2^3 = 8$
   - $3^3 = 27$
   - $4^3 = 64$
   - $5^3 = 125$

3. Sum of cubes:
   $$1 + 8 + 27 + 64 + 125 = 225$$

4. Average of the cubes:
   $$\frac{225}{5} = 45$$

**Answer:** $45$

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