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Finding the Third Proportional to 41,967.25 and 85,872.75

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Solution

The third proportional to 41,967.25 and 85,872.75 is: 175,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,967.25 : 85,872.75 = 85,872.75 : x
  2. Step 2: Convert to fraction form
    41,967.25/85,872.75 = 85,872.75/x
  3. Step 3: Cross multiply
    41,967.25x = 85,872.75 × 85,872.75
  4. Step 4: Simplify right side
    41,967.25x = 7,374,129,192.56
  5. Step 5: Solve for x
    x = 7,374,129,192.56/41,967.25
  6. Step 6: Final answer
    x = 175,711.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.