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Finding the Third Proportional to 60,902 and 95,561

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Solution

The third proportional to 60,902 and 95,561 is: 149,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,902 : 95,561 = 95,561 : x
  2. Step 2: Convert to fraction form
    60,902/95,561 = 95,561/x
  3. Step 3: Cross multiply
    60,902x = 95,561 × 95,561
  4. Step 4: Simplify right side
    60,902x = 9,131,904,721
  5. Step 5: Solve for x
    x = 9,131,904,721/60,902
  6. Step 6: Final answer
    x = 149,944.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.