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Finding the Third Proportional to 61,624 and 88,061

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Solution

The third proportional to 61,624 and 88,061 is: 125,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,624 : 88,061 = 88,061 : x
  2. Step 2: Convert to fraction form
    61,624/88,061 = 88,061/x
  3. Step 3: Cross multiply
    61,624x = 88,061 × 88,061
  4. Step 4: Simplify right side
    61,624x = 7,754,739,721
  5. Step 5: Solve for x
    x = 7,754,739,721/61,624
  6. Step 6: Final answer
    x = 125,839.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.