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Finding the Third Proportional to 82,166 and 168,226

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Solution

The third proportional to 82,166 and 168,226 is: 344,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166 : 168,226 = 168,226 : x
  2. Step 2: Convert to fraction form
    82,166/168,226 = 168,226/x
  3. Step 3: Cross multiply
    82,166x = 168,226 × 168,226
  4. Step 4: Simplify right side
    82,166x = 28,299,987,076
  5. Step 5: Solve for x
    x = 28,299,987,076/82,166
  6. Step 6: Final answer
    x = 344,424.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.