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Finding the Third Proportional to 73,167 and 159,727

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Solution

The third proportional to 73,167 and 159,727 is: 348,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167 : 159,727 = 159,727 : x
  2. Step 2: Convert to fraction form
    73,167/159,727 = 159,727/x
  3. Step 3: Cross multiply
    73,167x = 159,727 × 159,727
  4. Step 4: Simplify right side
    73,167x = 25,512,714,529
  5. Step 5: Solve for x
    x = 25,512,714,529/73,167
  6. Step 6: Final answer
    x = 348,691.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.