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Finding the Third Proportional to 41,697.75 and 88,680.75

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Solution

The third proportional to 41,697.75 and 88,680.75 is: 188,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,697.75 : 88,680.75 = 88,680.75 : x
  2. Step 2: Convert to fraction form
    41,697.75/88,680.75 = 88,680.75/x
  3. Step 3: Cross multiply
    41,697.75x = 88,680.75 × 88,680.75
  4. Step 4: Simplify right side
    41,697.75x = 7,864,275,420.56
  5. Step 5: Solve for x
    x = 7,864,275,420.56/41,697.75
  6. Step 6: Final answer
    x = 188,601.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.