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Finding the Third Proportional to 126,150.75 and 274,392.56

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Solution

The third proportional to 126,150.75 and 274,392.56 is: 596,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,150.75 : 274,392.56 = 274,392.56 : x
  2. Step 2: Convert to fraction form
    126,150.75/274,392.56 = 274,392.56/x
  3. Step 3: Cross multiply
    126,150.75x = 274,392.56 × 274,392.56
  4. Step 4: Simplify right side
    126,150.75x = 75,291,278,355.32
  5. Step 5: Solve for x
    x = 75,291,278,355.32/126,150.75
  6. Step 6: Final answer
    x = 596,835.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.