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Finding the Third Proportional to 125,100.75 and 275,229.75

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Solution

The third proportional to 125,100.75 and 275,229.75 is: 605,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,100.75 : 275,229.75 = 275,229.75 : x
  2. Step 2: Convert to fraction form
    125,100.75/275,229.75 = 275,229.75/x
  3. Step 3: Cross multiply
    125,100.75x = 275,229.75 × 275,229.75
  4. Step 4: Simplify right side
    125,100.75x = 75,751,415,285.06
  5. Step 5: Solve for x
    x = 75,751,415,285.06/125,100.75
  6. Step 6: Final answer
    x = 605,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.