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Finding the Third Proportional to 126,218.25 and 185,591.25

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Solution

The third proportional to 126,218.25 and 185,591.25 is: 272,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,218.25 : 185,591.25 = 185,591.25 : x
  2. Step 2: Convert to fraction form
    126,218.25/185,591.25 = 185,591.25/x
  3. Step 3: Cross multiply
    126,218.25x = 185,591.25 × 185,591.25
  4. Step 4: Simplify right side
    126,218.25x = 34,444,112,076.56
  5. Step 5: Solve for x
    x = 34,444,112,076.56/126,218.25
  6. Step 6: Final answer
    x = 272,893.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.