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Finding the Third Proportional to 126,836 and 271,660

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Solution

The third proportional to 126,836 and 271,660 is: 581,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,836 : 271,660 = 271,660 : x
  2. Step 2: Convert to fraction form
    126,836/271,660 = 271,660/x
  3. Step 3: Cross multiply
    126,836x = 271,660 × 271,660
  4. Step 4: Simplify right side
    126,836x = 73,799,155,600
  5. Step 5: Solve for x
    x = 73,799,155,600/126,836
  6. Step 6: Final answer
    x = 581,847.07

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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.