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Finding the Third Proportional to 61,981.44 and 127,229.88

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Solution

The third proportional to 61,981.44 and 127,229.88 is: 261,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,981.44 : 127,229.88 = 127,229.88 : x
  2. Step 2: Convert to fraction form
    61,981.44/127,229.88 = 127,229.88/x
  3. Step 3: Cross multiply
    61,981.44x = 127,229.88 × 127,229.88
  4. Step 4: Simplify right side
    61,981.44x = 16,187,441,092.52
  5. Step 5: Solve for x
    x = 16,187,441,092.52/61,981.44
  6. Step 6: Final answer
    x = 261,165.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.