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Finding the Third Proportional to 80,727 and 125,996

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Solution

The third proportional to 80,727 and 125,996 is: 196,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,727 : 125,996 = 125,996 : x
  2. Step 2: Convert to fraction form
    80,727/125,996 = 125,996/x
  3. Step 3: Cross multiply
    80,727x = 125,996 × 125,996
  4. Step 4: Simplify right side
    80,727x = 15,874,992,016
  5. Step 5: Solve for x
    x = 15,874,992,016/80,727
  6. Step 6: Final answer
    x = 196,650.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.