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Finding the Third Proportional to 61,377 and 133,689

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Solution

The third proportional to 61,377 and 133,689 is: 291,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,377 : 133,689 = 133,689 : x
  2. Step 2: Convert to fraction form
    61,377/133,689 = 133,689/x
  3. Step 3: Cross multiply
    61,377x = 133,689 × 133,689
  4. Step 4: Simplify right side
    61,377x = 17,872,748,721
  5. Step 5: Solve for x
    x = 17,872,748,721/61,377
  6. Step 6: Final answer
    x = 291,196.19

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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.