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Finding the Third Proportional to 83,086 and 180,193

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Solution

The third proportional to 83,086 and 180,193 is: 390,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086 : 180,193 = 180,193 : x
  2. Step 2: Convert to fraction form
    83,086/180,193 = 180,193/x
  3. Step 3: Cross multiply
    83,086x = 180,193 × 180,193
  4. Step 4: Simplify right side
    83,086x = 32,469,517,249
  5. Step 5: Solve for x
    x = 32,469,517,249/83,086
  6. Step 6: Final answer
    x = 390,794.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.