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Finding the Third Proportional to 61,632 and 95,061

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Solution

The third proportional to 61,632 and 95,061 is: 146,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,632 : 95,061 = 95,061 : x
  2. Step 2: Convert to fraction form
    61,632/95,061 = 95,061/x
  3. Step 3: Cross multiply
    61,632x = 95,061 × 95,061
  4. Step 4: Simplify right side
    61,632x = 9,036,593,721
  5. Step 5: Solve for x
    x = 9,036,593,721/61,632
  6. Step 6: Final answer
    x = 146,621.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.