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Finding the Third Proportional to 95,350 and 207,102

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Solution

The third proportional to 95,350 and 207,102 is: 449,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,350 : 207,102 = 207,102 : x
  2. Step 2: Convert to fraction form
    95,350/207,102 = 207,102/x
  3. Step 3: Cross multiply
    95,350x = 207,102 × 207,102
  4. Step 4: Simplify right side
    95,350x = 42,891,238,404
  5. Step 5: Solve for x
    x = 42,891,238,404/95,350
  6. Step 6: Final answer
    x = 449,829.45

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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.