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Finding the Third Proportional to 126,742.50 and 237,516.75

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Solution

The third proportional to 126,742.50 and 237,516.75 is: 445,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,742.50 : 237,516.75 = 237,516.75 : x
  2. Step 2: Convert to fraction form
    126,742.50/237,516.75 = 237,516.75/x
  3. Step 3: Cross multiply
    126,742.50x = 237,516.75 × 237,516.75
  4. Step 4: Simplify right side
    126,742.50x = 56,414,206,530.56
  5. Step 5: Solve for x
    x = 56,414,206,530.56/126,742.50
  6. Step 6: Final answer
    x = 445,108.84

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.