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Finding the Third Proportional to 95,387 and 207,175

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Solution

The third proportional to 95,387 and 207,175 is: 449,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,387 : 207,175 = 207,175 : x
  2. Step 2: Convert to fraction form
    95,387/207,175 = 207,175/x
  3. Step 3: Cross multiply
    95,387x = 207,175 × 207,175
  4. Step 4: Simplify right side
    95,387x = 42,921,480,625
  5. Step 5: Solve for x
    x = 42,921,480,625/95,387
  6. Step 6: Final answer
    x = 449,972.02

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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.