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Finding the Third Proportional to 49,325 and 108,703

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Solution

The third proportional to 49,325 and 108,703 is: 239,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,325 : 108,703 = 108,703 : x
  2. Step 2: Convert to fraction form
    49,325/108,703 = 108,703/x
  3. Step 3: Cross multiply
    49,325x = 108,703 × 108,703
  4. Step 4: Simplify right side
    49,325x = 11,816,342,209
  5. Step 5: Solve for x
    x = 11,816,342,209/49,325
  6. Step 6: Final answer
    x = 239,560.92

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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.