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Finding the Third Proportional to 81,342 and 123,579

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Solution

The third proportional to 81,342 and 123,579 is: 187,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342 : 123,579 = 123,579 : x
  2. Step 2: Convert to fraction form
    81,342/123,579 = 123,579/x
  3. Step 3: Cross multiply
    81,342x = 123,579 × 123,579
  4. Step 4: Simplify right side
    81,342x = 15,271,769,241
  5. Step 5: Solve for x
    x = 15,271,769,241/81,342
  6. Step 6: Final answer
    x = 187,747.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.