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Finding the Third Proportional to 81,722 and 123,069

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Solution

The third proportional to 81,722 and 123,069 is: 185,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722 : 123,069 = 123,069 : x
  2. Step 2: Convert to fraction form
    81,722/123,069 = 123,069/x
  3. Step 3: Cross multiply
    81,722x = 123,069 × 123,069
  4. Step 4: Simplify right side
    81,722x = 15,145,978,761
  5. Step 5: Solve for x
    x = 15,145,978,761/81,722
  6. Step 6: Final answer
    x = 185,335.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.