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Finding the Third Proportional to 81,980 and 123,720

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Solution

The third proportional to 81,980 and 123,720 is: 186,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980 : 123,720 = 123,720 : x
  2. Step 2: Convert to fraction form
    81,980/123,720 = 123,720/x
  3. Step 3: Cross multiply
    81,980x = 123,720 × 123,720
  4. Step 4: Simplify right side
    81,980x = 15,306,638,400
  5. Step 5: Solve for x
    x = 15,306,638,400/81,980
  6. Step 6: Final answer
    x = 186,711.86

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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.