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Finding the Third Proportional to 126,981 and 270,837

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Solution

The third proportional to 126,981 and 270,837 is: 577,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,981 : 270,837 = 270,837 : x
  2. Step 2: Convert to fraction form
    126,981/270,837 = 270,837/x
  3. Step 3: Cross multiply
    126,981x = 270,837 × 270,837
  4. Step 4: Simplify right side
    126,981x = 73,352,680,569
  5. Step 5: Solve for x
    x = 73,352,680,569/126,981
  6. Step 6: Final answer
    x = 577,666.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.