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Finding the Third Proportional to 61,934 and 91,443

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Solution

The third proportional to 61,934 and 91,443 is: 135,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,934 : 91,443 = 91,443 : x
  2. Step 2: Convert to fraction form
    61,934/91,443 = 91,443/x
  3. Step 3: Cross multiply
    61,934x = 91,443 × 91,443
  4. Step 4: Simplify right side
    61,934x = 8,361,822,249
  5. Step 5: Solve for x
    x = 8,361,822,249/61,934
  6. Step 6: Final answer
    x = 135,011.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.