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Finding the Third Proportional to 126,500 and 271,758

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Solution

The third proportional to 126,500 and 271,758 is: 583,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,500 : 271,758 = 271,758 : x
  2. Step 2: Convert to fraction form
    126,500/271,758 = 271,758/x
  3. Step 3: Cross multiply
    126,500x = 271,758 × 271,758
  4. Step 4: Simplify right side
    126,500x = 73,852,410,564
  5. Step 5: Solve for x
    x = 73,852,410,564/126,500
  6. Step 6: Final answer
    x = 583,813.52

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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.