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Finding the Third Proportional to 126,002 and 203,019

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Solution

The third proportional to 126,002 and 203,019 is: 327,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,002 : 203,019 = 203,019 : x
  2. Step 2: Convert to fraction form
    126,002/203,019 = 203,019/x
  3. Step 3: Cross multiply
    126,002x = 203,019 × 203,019
  4. Step 4: Simplify right side
    126,002x = 41,216,714,361
  5. Step 5: Solve for x
    x = 41,216,714,361/126,002
  6. Step 6: Final answer
    x = 327,111.59

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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.