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Finding the Third Proportional to 50,195 and 80,720

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Solution

The third proportional to 50,195 and 80,720 is: 129,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195 : 80,720 = 80,720 : x
  2. Step 2: Convert to fraction form
    50,195/80,720 = 80,720/x
  3. Step 3: Cross multiply
    50,195x = 80,720 × 80,720
  4. Step 4: Simplify right side
    50,195x = 6,515,718,400
  5. Step 5: Solve for x
    x = 6,515,718,400/50,195
  6. Step 6: Final answer
    x = 129,808.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.