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Finding the Third Proportional to 126,367.50 and 184,608.75

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Solution

The third proportional to 126,367.50 and 184,608.75 is: 269,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,367.50 : 184,608.75 = 184,608.75 : x
  2. Step 2: Convert to fraction form
    126,367.50/184,608.75 = 184,608.75/x
  3. Step 3: Cross multiply
    126,367.50x = 184,608.75 × 184,608.75
  4. Step 4: Simplify right side
    126,367.50x = 34,080,390,576.56
  5. Step 5: Solve for x
    x = 34,080,390,576.56/126,367.50
  6. Step 6: Final answer
    x = 269,692.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.