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Finding the Third Proportional to 44,259 and 95,561

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Solution

The third proportional to 44,259 and 95,561 is: 206,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,259 : 95,561 = 95,561 : x
  2. Step 2: Convert to fraction form
    44,259/95,561 = 95,561/x
  3. Step 3: Cross multiply
    44,259x = 95,561 × 95,561
  4. Step 4: Simplify right side
    44,259x = 9,131,904,721
  5. Step 5: Solve for x
    x = 9,131,904,721/44,259
  6. Step 6: Final answer
    x = 206,328.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.