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Finding the Third Proportional to 126,324.56 and 189,999.42

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Solution

The third proportional to 126,324.56 and 189,999.42 is: 285,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324.56 : 189,999.42 = 189,999.42 : x
  2. Step 2: Convert to fraction form
    126,324.56/189,999.42 = 189,999.42/x
  3. Step 3: Cross multiply
    126,324.56x = 189,999.42 × 189,999.42
  4. Step 4: Simplify right side
    126,324.56x = 36,099,780,312.83
  5. Step 5: Solve for x
    x = 36,099,780,312.83/126,324.56
  6. Step 6: Final answer
    x = 285,770.08

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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.