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Finding the Third Proportional to 49,778 and 107,472

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Solution

The third proportional to 49,778 and 107,472 is: 232,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778 : 107,472 = 107,472 : x
  2. Step 2: Convert to fraction form
    49,778/107,472 = 107,472/x
  3. Step 3: Cross multiply
    49,778x = 107,472 × 107,472
  4. Step 4: Simplify right side
    49,778x = 11,550,230,784
  5. Step 5: Solve for x
    x = 11,550,230,784/49,778
  6. Step 6: Final answer
    x = 232,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.