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Finding the Third Proportional to 83,206 and 179,533

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Solution

The third proportional to 83,206 and 179,533 is: 387,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206 : 179,533 = 179,533 : x
  2. Step 2: Convert to fraction form
    83,206/179,533 = 179,533/x
  3. Step 3: Cross multiply
    83,206x = 179,533 × 179,533
  4. Step 4: Simplify right side
    83,206x = 32,232,098,089
  5. Step 5: Solve for x
    x = 32,232,098,089/83,206
  6. Step 6: Final answer
    x = 387,377.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.