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Finding the Third Proportional to 71,713 and 155,522

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Solution

The third proportional to 71,713 and 155,522 is: 337,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713 : 155,522 = 155,522 : x
  2. Step 2: Convert to fraction form
    71,713/155,522 = 155,522/x
  3. Step 3: Cross multiply
    71,713x = 155,522 × 155,522
  4. Step 4: Simplify right side
    71,713x = 24,187,092,484
  5. Step 5: Solve for x
    x = 24,187,092,484/71,713
  6. Step 6: Final answer
    x = 337,276.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.