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Finding the Third Proportional to 122,031 and 223,812

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Solution

The third proportional to 122,031 and 223,812 is: 410,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,031 : 223,812 = 223,812 : x
  2. Step 2: Convert to fraction form
    122,031/223,812 = 223,812/x
  3. Step 3: Cross multiply
    122,031x = 223,812 × 223,812
  4. Step 4: Simplify right side
    122,031x = 50,091,811,344
  5. Step 5: Solve for x
    x = 50,091,811,344/122,031
  6. Step 6: Final answer
    x = 410,484.31

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.