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Finding the Third Proportional to 71,721 and 157,599

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Solution

The third proportional to 71,721 and 157,599 is: 346,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721 : 157,599 = 157,599 : x
  2. Step 2: Convert to fraction form
    71,721/157,599 = 157,599/x
  3. Step 3: Cross multiply
    71,721x = 157,599 × 157,599
  4. Step 4: Simplify right side
    71,721x = 24,837,444,801
  5. Step 5: Solve for x
    x = 24,837,444,801/71,721
  6. Step 6: Final answer
    x = 346,306.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.