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Finding the Third Proportional to 61,542 and 133,882

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Solution

The third proportional to 61,542 and 133,882 is: 291,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542 : 133,882 = 133,882 : x
  2. Step 2: Convert to fraction form
    61,542/133,882 = 133,882/x
  3. Step 3: Cross multiply
    61,542x = 133,882 × 133,882
  4. Step 4: Simplify right side
    61,542x = 17,924,389,924
  5. Step 5: Solve for x
    x = 17,924,389,924/61,542
  6. Step 6: Final answer
    x = 291,254.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.