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Finding the Third Proportional to 126,047 and 269,041

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Solution

The third proportional to 126,047 and 269,041 is: 574,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,047 : 269,041 = 269,041 : x
  2. Step 2: Convert to fraction form
    126,047/269,041 = 269,041/x
  3. Step 3: Cross multiply
    126,047x = 269,041 × 269,041
  4. Step 4: Simplify right side
    126,047x = 72,383,059,681
  5. Step 5: Solve for x
    x = 72,383,059,681/126,047
  6. Step 6: Final answer
    x = 574,254.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.