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Finding the Third Proportional to 49,524 and 108,404

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Solution

The third proportional to 49,524 and 108,404 is: 237,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524 : 108,404 = 108,404 : x
  2. Step 2: Convert to fraction form
    49,524/108,404 = 108,404/x
  3. Step 3: Cross multiply
    49,524x = 108,404 × 108,404
  4. Step 4: Simplify right side
    49,524x = 11,751,427,216
  5. Step 5: Solve for x
    x = 11,751,427,216/49,524
  6. Step 6: Final answer
    x = 237,287.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.