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Finding the Third Proportional to 125,976 and 276,524

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Solution

The third proportional to 125,976 and 276,524 is: 606,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976 : 276,524 = 276,524 : x
  2. Step 2: Convert to fraction form
    125,976/276,524 = 276,524/x
  3. Step 3: Cross multiply
    125,976x = 276,524 × 276,524
  4. Step 4: Simplify right side
    125,976x = 76,465,522,576
  5. Step 5: Solve for x
    x = 76,465,522,576/125,976
  6. Step 6: Final answer
    x = 606,984.84

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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.