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Finding the Third Proportional to 126,770.06 and 189,760.22

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Solution

The third proportional to 126,770.06 and 189,760.22 is: 284,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,770.06 : 189,760.22 = 189,760.22 : x
  2. Step 2: Convert to fraction form
    126,770.06/189,760.22 = 189,760.22/x
  3. Step 3: Cross multiply
    126,770.06x = 189,760.22 × 189,760.22
  4. Step 4: Simplify right side
    126,770.06x = 36,008,940,620.05
  5. Step 5: Solve for x
    x = 36,008,940,620.05/126,770.06
  6. Step 6: Final answer
    x = 284,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.