Finding the Third Proportional to 97,107 and 152,588
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Solution
The third proportional to 97,107 and 152,588 is: 239,767.45
Step by Step Solution
- Step 1: Write the proportion equation
97,107 : 152,588 = 152,588 : x - Step 2: Convert to fraction form
97,107/152,588 = 152,588/x - Step 3: Cross multiply
97,107x = 152,588 × 152,588 - Step 4: Simplify right side
97,107x = 23,283,097,744 - Step 5: Solve for x
x = 23,283,097,744/97,107 - Step 6: Final answer
x = 239,767.45
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.