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Finding the Third Proportional to 126,866 and 271,224

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Solution

The third proportional to 126,866 and 271,224 is: 579,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,866 : 271,224 = 271,224 : x
  2. Step 2: Convert to fraction form
    126,866/271,224 = 271,224/x
  3. Step 3: Cross multiply
    126,866x = 271,224 × 271,224
  4. Step 4: Simplify right side
    126,866x = 73,562,458,176
  5. Step 5: Solve for x
    x = 73,562,458,176/126,866
  6. Step 6: Final answer
    x = 579,843.76

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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.