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Finding the Third Proportional to 126,503 and 271,767

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Solution

The third proportional to 126,503 and 271,767 is: 583,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503 : 271,767 = 271,767 : x
  2. Step 2: Convert to fraction form
    126,503/271,767 = 271,767/x
  3. Step 3: Cross multiply
    126,503x = 271,767 × 271,767
  4. Step 4: Simplify right side
    126,503x = 73,857,302,289
  5. Step 5: Solve for x
    x = 73,857,302,289/126,503
  6. Step 6: Final answer
    x = 583,838.35

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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.