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Finding the Third Proportional to 27,134 and 55,892

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Solution

The third proportional to 27,134 and 55,892 is: 115,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134 : 55,892 = 55,892 : x
  2. Step 2: Convert to fraction form
    27,134/55,892 = 55,892/x
  3. Step 3: Cross multiply
    27,134x = 55,892 × 55,892
  4. Step 4: Simplify right side
    27,134x = 3,123,915,664
  5. Step 5: Solve for x
    x = 3,123,915,664/27,134
  6. Step 6: Final answer
    x = 115,129.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.