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Finding the Third Proportional to 27,961 and 62,138

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Solution

The third proportional to 27,961 and 62,138 is: 138,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961 : 62,138 = 62,138 : x
  2. Step 2: Convert to fraction form
    27,961/62,138 = 62,138/x
  3. Step 3: Cross multiply
    27,961x = 62,138 × 62,138
  4. Step 4: Simplify right side
    27,961x = 3,861,131,044
  5. Step 5: Solve for x
    x = 3,861,131,044/27,961
  6. Step 6: Final answer
    x = 138,089.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.