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Finding the Third Proportional to 61,418 and 92,109

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Solution

The third proportional to 61,418 and 92,109 is: 138,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,418 : 92,109 = 92,109 : x
  2. Step 2: Convert to fraction form
    61,418/92,109 = 92,109/x
  3. Step 3: Cross multiply
    61,418x = 92,109 × 92,109
  4. Step 4: Simplify right side
    61,418x = 8,484,067,881
  5. Step 5: Solve for x
    x = 8,484,067,881/61,418
  6. Step 6: Final answer
    x = 138,136.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.