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Finding the Third Proportional to 61,614 and 82,377

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Solution

The third proportional to 61,614 and 82,377 is: 110,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 82,377 = 82,377 : x
  2. Step 2: Convert to fraction form
    61,614/82,377 = 82,377/x
  3. Step 3: Cross multiply
    61,614x = 82,377 × 82,377
  4. Step 4: Simplify right side
    61,614x = 6,785,970,129
  5. Step 5: Solve for x
    x = 6,785,970,129/61,614
  6. Step 6: Final answer
    x = 110,136.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.