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Finding the Third Proportional to 126,132 and 269,400

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Solution

The third proportional to 126,132 and 269,400 is: 575,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,132 : 269,400 = 269,400 : x
  2. Step 2: Convert to fraction form
    126,132/269,400 = 269,400/x
  3. Step 3: Cross multiply
    126,132x = 269,400 × 269,400
  4. Step 4: Simplify right side
    126,132x = 72,576,360,000
  5. Step 5: Solve for x
    x = 72,576,360,000/126,132
  6. Step 6: Final answer
    x = 575,400.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.