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Finding the Third Proportional to 41,694.50 and 85,087

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Solution

The third proportional to 41,694.50 and 85,087 is: 173,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,694.50 : 85,087 = 85,087 : x
  2. Step 2: Convert to fraction form
    41,694.50/85,087 = 85,087/x
  3. Step 3: Cross multiply
    41,694.50x = 85,087 × 85,087
  4. Step 4: Simplify right side
    41,694.50x = 7,239,797,569
  5. Step 5: Solve for x
    x = 7,239,797,569/41,694.50
  6. Step 6: Final answer
    x = 173,639.15

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.