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Finding the Third Proportional to 49,941 and 108,189

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Solution

The third proportional to 49,941 and 108,189 is: 234,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,941 : 108,189 = 108,189 : x
  2. Step 2: Convert to fraction form
    49,941/108,189 = 108,189/x
  3. Step 3: Cross multiply
    49,941x = 108,189 × 108,189
  4. Step 4: Simplify right side
    49,941x = 11,704,859,721
  5. Step 5: Solve for x
    x = 11,704,859,721/49,941
  6. Step 6: Final answer
    x = 234,373.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.