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Finding the Third Proportional to 75,966 and 166,234

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Solution

The third proportional to 75,966 and 166,234 is: 363,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,966 : 166,234 = 166,234 : x
  2. Step 2: Convert to fraction form
    75,966/166,234 = 166,234/x
  3. Step 3: Cross multiply
    75,966x = 166,234 × 166,234
  4. Step 4: Simplify right side
    75,966x = 27,633,742,756
  5. Step 5: Solve for x
    x = 27,633,742,756/75,966
  6. Step 6: Final answer
    x = 363,764.62

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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.