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Finding the Third Proportional to 126,196 and 269,901

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Solution

The third proportional to 126,196 and 269,901 is: 577,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,196 : 269,901 = 269,901 : x
  2. Step 2: Convert to fraction form
    126,196/269,901 = 269,901/x
  3. Step 3: Cross multiply
    126,196x = 269,901 × 269,901
  4. Step 4: Simplify right side
    126,196x = 72,846,549,801
  5. Step 5: Solve for x
    x = 72,846,549,801/126,196
  6. Step 6: Final answer
    x = 577,249.28

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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.