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Finding the Third Proportional to 85,899 and 123,719

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Solution

The third proportional to 85,899 and 123,719 is: 178,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,899 : 123,719 = 123,719 : x
  2. Step 2: Convert to fraction form
    85,899/123,719 = 123,719/x
  3. Step 3: Cross multiply
    85,899x = 123,719 × 123,719
  4. Step 4: Simplify right side
    85,899x = 15,306,390,961
  5. Step 5: Solve for x
    x = 15,306,390,961/85,899
  6. Step 6: Final answer
    x = 178,190.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.