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Finding the Third Proportional to 126,271.13 and 274,635

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Solution

The third proportional to 126,271.13 and 274,635 is: 597,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,271.13 : 274,635 = 274,635 : x
  2. Step 2: Convert to fraction form
    126,271.13/274,635 = 274,635/x
  3. Step 3: Cross multiply
    126,271.13x = 274,635 × 274,635
  4. Step 4: Simplify right side
    126,271.13x = 75,424,383,225
  5. Step 5: Solve for x
    x = 75,424,383,225/126,271.13
  6. Step 6: Final answer
    x = 597,320.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.