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Finding the Third Proportional to 125,115.75 and 275,253.75

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Solution

The third proportional to 125,115.75 and 275,253.75 is: 605,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,115.75 : 275,253.75 = 275,253.75 : x
  2. Step 2: Convert to fraction form
    125,115.75/275,253.75 = 275,253.75/x
  3. Step 3: Cross multiply
    125,115.75x = 275,253.75 × 275,253.75
  4. Step 4: Simplify right side
    125,115.75x = 75,764,626,889.06
  5. Step 5: Solve for x
    x = 75,764,626,889.06/125,115.75
  6. Step 6: Final answer
    x = 605,556.27

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