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Finding the Third Proportional to 27,167 and 60,562

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Solution

The third proportional to 27,167 and 60,562 is: 135,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,167 : 60,562 = 60,562 : x
  2. Step 2: Convert to fraction form
    27,167/60,562 = 60,562/x
  3. Step 3: Cross multiply
    27,167x = 60,562 × 60,562
  4. Step 4: Simplify right side
    27,167x = 3,667,755,844
  5. Step 5: Solve for x
    x = 3,667,755,844/27,167
  6. Step 6: Final answer
    x = 135,007.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.