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Finding the Third Proportional to 126,999 and 273,114

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Solution

The third proportional to 126,999 and 273,114 is: 587,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,999 : 273,114 = 273,114 : x
  2. Step 2: Convert to fraction form
    126,999/273,114 = 273,114/x
  3. Step 3: Cross multiply
    126,999x = 273,114 × 273,114
  4. Step 4: Simplify right side
    126,999x = 74,591,256,996
  5. Step 5: Solve for x
    x = 74,591,256,996/126,999
  6. Step 6: Final answer
    x = 587,337.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.