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Finding the Third Proportional to 95,586 and 207,939

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Solution

The third proportional to 95,586 and 207,939 is: 452,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,586 : 207,939 = 207,939 : x
  2. Step 2: Convert to fraction form
    95,586/207,939 = 207,939/x
  3. Step 3: Cross multiply
    95,586x = 207,939 × 207,939
  4. Step 4: Simplify right side
    95,586x = 43,238,627,721
  5. Step 5: Solve for x
    x = 43,238,627,721/95,586
  6. Step 6: Final answer
    x = 452,353.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.