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Finding the Third Proportional to 63,377 and 133,882

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Solution

The third proportional to 63,377 and 133,882 is: 282,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,377 : 133,882 = 133,882 : x
  2. Step 2: Convert to fraction form
    63,377/133,882 = 133,882/x
  3. Step 3: Cross multiply
    63,377x = 133,882 × 133,882
  4. Step 4: Simplify right side
    63,377x = 17,924,389,924
  5. Step 5: Solve for x
    x = 17,924,389,924/63,377
  6. Step 6: Final answer
    x = 282,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.