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Finding the Third Proportional to 61,536 and 133,872

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Solution

The third proportional to 61,536 and 133,872 is: 291,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536 : 133,872 = 133,872 : x
  2. Step 2: Convert to fraction form
    61,536/133,872 = 133,872/x
  3. Step 3: Cross multiply
    61,536x = 133,872 × 133,872
  4. Step 4: Simplify right side
    61,536x = 17,921,712,384
  5. Step 5: Solve for x
    x = 17,921,712,384/61,536
  6. Step 6: Final answer
    x = 291,239.48

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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.