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Finding the Third Proportional to 83,843.25 and 123,091.50

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Solution

The third proportional to 83,843.25 and 123,091.50 is: 180,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.25 : 123,091.50 = 123,091.50 : x
  2. Step 2: Convert to fraction form
    83,843.25/123,091.50 = 123,091.50/x
  3. Step 3: Cross multiply
    83,843.25x = 123,091.50 × 123,091.50
  4. Step 4: Simplify right side
    83,843.25x = 15,151,517,372.25
  5. Step 5: Solve for x
    x = 15,151,517,372.25/83,843.25
  6. Step 6: Final answer
    x = 180,712.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.