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Finding the Third Proportional to 49,482 and 100,691

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Solution

The third proportional to 49,482 and 100,691 is: 204,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,482 : 100,691 = 100,691 : x
  2. Step 2: Convert to fraction form
    49,482/100,691 = 100,691/x
  3. Step 3: Cross multiply
    49,482x = 100,691 × 100,691
  4. Step 4: Simplify right side
    49,482x = 10,138,677,481
  5. Step 5: Solve for x
    x = 10,138,677,481/49,482
  6. Step 6: Final answer
    x = 204,896.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.