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Finding the Third Proportional to 95,599 and 207,782

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Solution

The third proportional to 95,599 and 207,782 is: 451,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,599 : 207,782 = 207,782 : x
  2. Step 2: Convert to fraction form
    95,599/207,782 = 207,782/x
  3. Step 3: Cross multiply
    95,599x = 207,782 × 207,782
  4. Step 4: Simplify right side
    95,599x = 43,173,359,524
  5. Step 5: Solve for x
    x = 43,173,359,524/95,599
  6. Step 6: Final answer
    x = 451,608.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.