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Finding the Third Proportional to 41,863.50 and 86,671.50

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Solution

The third proportional to 41,863.50 and 86,671.50 is: 179,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,863.50 : 86,671.50 = 86,671.50 : x
  2. Step 2: Convert to fraction form
    41,863.50/86,671.50 = 86,671.50/x
  3. Step 3: Cross multiply
    41,863.50x = 86,671.50 × 86,671.50
  4. Step 4: Simplify right side
    41,863.50x = 7,511,948,912.25
  5. Step 5: Solve for x
    x = 7,511,948,912.25/41,863.50
  6. Step 6: Final answer
    x = 179,439.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.