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Finding the Third Proportional to 124,876 and 270,912

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Solution

The third proportional to 124,876 and 270,912 is: 587,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,876 : 270,912 = 270,912 : x
  2. Step 2: Convert to fraction form
    124,876/270,912 = 270,912/x
  3. Step 3: Cross multiply
    124,876x = 270,912 × 270,912
  4. Step 4: Simplify right side
    124,876x = 73,393,311,744
  5. Step 5: Solve for x
    x = 73,393,311,744/124,876
  6. Step 6: Final answer
    x = 587,729.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.