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Finding the Third Proportional to 126,883.50 and 184,331.25

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Solution

The third proportional to 126,883.50 and 184,331.25 is: 267,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,883.50 : 184,331.25 = 184,331.25 : x
  2. Step 2: Convert to fraction form
    126,883.50/184,331.25 = 184,331.25/x
  3. Step 3: Cross multiply
    126,883.50x = 184,331.25 × 184,331.25
  4. Step 4: Simplify right side
    126,883.50x = 33,978,009,726.56
  5. Step 5: Solve for x
    x = 33,978,009,726.56/126,883.50
  6. Step 6: Final answer
    x = 267,789.03

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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.