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Finding the Third Proportional to 71,110 and 164,626

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Solution

The third proportional to 71,110 and 164,626 is: 381,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,110 : 164,626 = 164,626 : x
  2. Step 2: Convert to fraction form
    71,110/164,626 = 164,626/x
  3. Step 3: Cross multiply
    71,110x = 164,626 × 164,626
  4. Step 4: Simplify right side
    71,110x = 27,101,719,876
  5. Step 5: Solve for x
    x = 27,101,719,876/71,110
  6. Step 6: Final answer
    x = 381,123.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.