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Finding the Third Proportional to 80,086 and 166,487

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Solution

The third proportional to 80,086 and 166,487 is: 346,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,086 : 166,487 = 166,487 : x
  2. Step 2: Convert to fraction form
    80,086/166,487 = 166,487/x
  3. Step 3: Cross multiply
    80,086x = 166,487 × 166,487
  4. Step 4: Simplify right side
    80,086x = 27,717,921,169
  5. Step 5: Solve for x
    x = 27,717,921,169/80,086
  6. Step 6: Final answer
    x = 346,101.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.