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Finding the Third Proportional to 77,934 and 167,790

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Solution

The third proportional to 77,934 and 167,790 is: 361,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934 : 167,790 = 167,790 : x
  2. Step 2: Convert to fraction form
    77,934/167,790 = 167,790/x
  3. Step 3: Cross multiply
    77,934x = 167,790 × 167,790
  4. Step 4: Simplify right side
    77,934x = 28,153,484,100
  5. Step 5: Solve for x
    x = 28,153,484,100/77,934
  6. Step 6: Final answer
    x = 361,247.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.