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Finding the Third Proportional to 126,000 and 203,016

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Solution

The third proportional to 126,000 and 203,016 is: 327,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000 : 203,016 = 203,016 : x
  2. Step 2: Convert to fraction form
    126,000/203,016 = 203,016/x
  3. Step 3: Cross multiply
    126,000x = 203,016 × 203,016
  4. Step 4: Simplify right side
    126,000x = 41,215,496,256
  5. Step 5: Solve for x
    x = 41,215,496,256/126,000
  6. Step 6: Final answer
    x = 327,107.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.