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Finding the Third Proportional to 82,717 and 181,193

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Solution

The third proportional to 82,717 and 181,193 is: 396,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,717 : 181,193 = 181,193 : x
  2. Step 2: Convert to fraction form
    82,717/181,193 = 181,193/x
  3. Step 3: Cross multiply
    82,717x = 181,193 × 181,193
  4. Step 4: Simplify right side
    82,717x = 32,830,903,249
  5. Step 5: Solve for x
    x = 32,830,903,249/82,717
  6. Step 6: Final answer
    x = 396,906.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.