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Finding the Third Proportional to 129,822 and 196,137

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Solution

The third proportional to 129,822 and 196,137 is: 296,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822 : 196,137 = 196,137 : x
  2. Step 2: Convert to fraction form
    129,822/196,137 = 196,137/x
  3. Step 3: Cross multiply
    129,822x = 196,137 × 196,137
  4. Step 4: Simplify right side
    129,822x = 38,469,722,769
  5. Step 5: Solve for x
    x = 38,469,722,769/129,822
  6. Step 6: Final answer
    x = 296,326.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.