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Finding the Third Proportional to 86,197 and 182,762

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Solution

The third proportional to 86,197 and 182,762 is: 387,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197 : 182,762 = 182,762 : x
  2. Step 2: Convert to fraction form
    86,197/182,762 = 182,762/x
  3. Step 3: Cross multiply
    86,197x = 182,762 × 182,762
  4. Step 4: Simplify right side
    86,197x = 33,401,948,644
  5. Step 5: Solve for x
    x = 33,401,948,644/86,197
  6. Step 6: Final answer
    x = 387,507.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.