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Finding the Third Proportional to 27,942 and 61,217

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Solution

The third proportional to 27,942 and 61,217 is: 134,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 61,217 = 61,217 : x
  2. Step 2: Convert to fraction form
    27,942/61,217 = 61,217/x
  3. Step 3: Cross multiply
    27,942x = 61,217 × 61,217
  4. Step 4: Simplify right side
    27,942x = 3,747,521,089
  5. Step 5: Solve for x
    x = 3,747,521,089/27,942
  6. Step 6: Final answer
    x = 134,117.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.