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Finding the Third Proportional to 37,195 and 81,761

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Solution

The third proportional to 37,195 and 81,761 is: 179,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,195 : 81,761 = 81,761 : x
  2. Step 2: Convert to fraction form
    37,195/81,761 = 81,761/x
  3. Step 3: Cross multiply
    37,195x = 81,761 × 81,761
  4. Step 4: Simplify right side
    37,195x = 6,684,861,121
  5. Step 5: Solve for x
    x = 6,684,861,121/37,195
  6. Step 6: Final answer
    x = 179,724.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.