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Finding the Third Proportional to 126,882.75 and 184,327.50

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Solution

The third proportional to 126,882.75 and 184,327.50 is: 267,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,882.75 : 184,327.50 = 184,327.50 : x
  2. Step 2: Convert to fraction form
    126,882.75/184,327.50 = 184,327.50/x
  3. Step 3: Cross multiply
    126,882.75x = 184,327.50 × 184,327.50
  4. Step 4: Simplify right side
    126,882.75x = 33,976,627,256.25
  5. Step 5: Solve for x
    x = 33,976,627,256.25/126,882.75
  6. Step 6: Final answer
    x = 267,779.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.