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Finding the Third Proportional to 49,534 and 108,908

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Solution

The third proportional to 49,534 and 108,908 is: 239,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534 : 108,908 = 108,908 : x
  2. Step 2: Convert to fraction form
    49,534/108,908 = 108,908/x
  3. Step 3: Cross multiply
    49,534x = 108,908 × 108,908
  4. Step 4: Simplify right side
    49,534x = 11,860,952,464
  5. Step 5: Solve for x
    x = 11,860,952,464/49,534
  6. Step 6: Final answer
    x = 239,450.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.