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Finding the Third Proportional to 126,871.31 and 184,310.44

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Solution

The third proportional to 126,871.31 and 184,310.44 is: 267,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,871.31 : 184,310.44 = 184,310.44 : x
  2. Step 2: Convert to fraction form
    126,871.31/184,310.44 = 184,310.44/x
  3. Step 3: Cross multiply
    126,871.31x = 184,310.44 × 184,310.44
  4. Step 4: Simplify right side
    126,871.31x = 33,970,337,371.44
  5. Step 5: Solve for x
    x = 33,970,337,371.44/126,871.31
  6. Step 6: Final answer
    x = 267,754.28

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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.