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Finding the Third Proportional to 49,327 and 108,708

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Solution

The third proportional to 49,327 and 108,708 is: 239,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327 : 108,708 = 108,708 : x
  2. Step 2: Convert to fraction form
    49,327/108,708 = 108,708/x
  3. Step 3: Cross multiply
    49,327x = 108,708 × 108,708
  4. Step 4: Simplify right side
    49,327x = 11,817,429,264
  5. Step 5: Solve for x
    x = 11,817,429,264/49,327
  6. Step 6: Final answer
    x = 239,573.24

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