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Finding the Third Proportional to 95,371 and 207,129

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Solution

The third proportional to 95,371 and 207,129 is: 449,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,371 : 207,129 = 207,129 : x
  2. Step 2: Convert to fraction form
    95,371/207,129 = 207,129/x
  3. Step 3: Cross multiply
    95,371x = 207,129 × 207,129
  4. Step 4: Simplify right side
    95,371x = 42,902,422,641
  5. Step 5: Solve for x
    x = 42,902,422,641/95,371
  6. Step 6: Final answer
    x = 449,847.68

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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.