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Finding the Third Proportional to 124,854 and 270,876

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Solution

The third proportional to 124,854 and 270,876 is: 587,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,854 : 270,876 = 270,876 : x
  2. Step 2: Convert to fraction form
    124,854/270,876 = 270,876/x
  3. Step 3: Cross multiply
    124,854x = 270,876 × 270,876
  4. Step 4: Simplify right side
    124,854x = 73,373,807,376
  5. Step 5: Solve for x
    x = 73,373,807,376/124,854
  6. Step 6: Final answer
    x = 587,676.87

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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.