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Finding the Third Proportional to 83,087.25 and 128,898

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Solution

The third proportional to 83,087.25 and 128,898 is: 199,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087.25 : 128,898 = 128,898 : x
  2. Step 2: Convert to fraction form
    83,087.25/128,898 = 128,898/x
  3. Step 3: Cross multiply
    83,087.25x = 128,898 × 128,898
  4. Step 4: Simplify right side
    83,087.25x = 16,614,694,404
  5. Step 5: Solve for x
    x = 16,614,694,404/83,087.25
  6. Step 6: Final answer
    x = 199,966.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.