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Finding the Third Proportional to 49,930 and 108,677

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Solution

The third proportional to 49,930 and 108,677 is: 236,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,930 : 108,677 = 108,677 : x
  2. Step 2: Convert to fraction form
    49,930/108,677 = 108,677/x
  3. Step 3: Cross multiply
    49,930x = 108,677 × 108,677
  4. Step 4: Simplify right side
    49,930x = 11,810,690,329
  5. Step 5: Solve for x
    x = 11,810,690,329/49,930
  6. Step 6: Final answer
    x = 236,544.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.