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Finding the Third Proportional to 76,204 and 167,132

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Solution

The third proportional to 76,204 and 167,132 is: 366,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204 : 167,132 = 167,132 : x
  2. Step 2: Convert to fraction form
    76,204/167,132 = 167,132/x
  3. Step 3: Cross multiply
    76,204x = 167,132 × 167,132
  4. Step 4: Simplify right side
    76,204x = 27,933,105,424
  5. Step 5: Solve for x
    x = 27,933,105,424/76,204
  6. Step 6: Final answer
    x = 366,556.94

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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.