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Finding the Third Proportional to 40,195 and 81,485

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Solution

The third proportional to 40,195 and 81,485 is: 165,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195 : 81,485 = 81,485 : x
  2. Step 2: Convert to fraction form
    40,195/81,485 = 81,485/x
  3. Step 3: Cross multiply
    40,195x = 81,485 × 81,485
  4. Step 4: Simplify right side
    40,195x = 6,639,805,225
  5. Step 5: Solve for x
    x = 6,639,805,225/40,195
  6. Step 6: Final answer
    x = 165,189.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.