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Finding the Third Proportional to 73,469 and 159,151

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Solution

The third proportional to 73,469 and 159,151 is: 344,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469 : 159,151 = 159,151 : x
  2. Step 2: Convert to fraction form
    73,469/159,151 = 159,151/x
  3. Step 3: Cross multiply
    73,469x = 159,151 × 159,151
  4. Step 4: Simplify right side
    73,469x = 25,329,040,801
  5. Step 5: Solve for x
    x = 25,329,040,801/73,469
  6. Step 6: Final answer
    x = 344,758.21

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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.