Finding the Third Proportional to 71,582 and 152,410
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Solution
The third proportional to 71,582 and 152,410 is: 324,506.27
Step by Step Solution
- Step 1: Write the proportion equation
71,582 : 152,410 = 152,410 : x - Step 2: Convert to fraction form
71,582/152,410 = 152,410/x - Step 3: Cross multiply
71,582x = 152,410 × 152,410 - Step 4: Simplify right side
71,582x = 23,228,808,100 - Step 5: Solve for x
x = 23,228,808,100/71,582 - Step 6: Final answer
x = 324,506.27
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.