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Finding the Third Proportional to 73,001 and 95,857

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Solution

The third proportional to 73,001 and 95,857 is: 125,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,001 : 95,857 = 95,857 : x
  2. Step 2: Convert to fraction form
    73,001/95,857 = 95,857/x
  3. Step 3: Cross multiply
    73,001x = 95,857 × 95,857
  4. Step 4: Simplify right side
    73,001x = 9,188,564,449
  5. Step 5: Solve for x
    x = 9,188,564,449/73,001
  6. Step 6: Final answer
    x = 125,869.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.