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Finding the Third Proportional to 71,594 and 161,755

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Solution

The third proportional to 71,594 and 161,755 is: 365,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594 : 161,755 = 161,755 : x
  2. Step 2: Convert to fraction form
    71,594/161,755 = 161,755/x
  3. Step 3: Cross multiply
    71,594x = 161,755 × 161,755
  4. Step 4: Simplify right side
    71,594x = 26,164,680,025
  5. Step 5: Solve for x
    x = 26,164,680,025/71,594
  6. Step 6: Final answer
    x = 365,459.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.