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Finding the Third Proportional to 126,212 and 271,864

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Solution

The third proportional to 126,212 and 271,864 is: 585,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,212 : 271,864 = 271,864 : x
  2. Step 2: Convert to fraction form
    126,212/271,864 = 271,864/x
  3. Step 3: Cross multiply
    126,212x = 271,864 × 271,864
  4. Step 4: Simplify right side
    126,212x = 73,910,034,496
  5. Step 5: Solve for x
    x = 73,910,034,496/126,212
  6. Step 6: Final answer
    x = 585,602.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.