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Finding the Third Proportional to 48,940 and 113,397

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Solution

The third proportional to 48,940 and 113,397 is: 262,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,940 : 113,397 = 113,397 : x
  2. Step 2: Convert to fraction form
    48,940/113,397 = 113,397/x
  3. Step 3: Cross multiply
    48,940x = 113,397 × 113,397
  4. Step 4: Simplify right side
    48,940x = 12,858,879,609
  5. Step 5: Solve for x
    x = 12,858,879,609/48,940
  6. Step 6: Final answer
    x = 262,747.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.