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Finding the Third Proportional to 49,874 and 109,285

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Solution

The third proportional to 49,874 and 109,285 is: 239,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874 : 109,285 = 109,285 : x
  2. Step 2: Convert to fraction form
    49,874/109,285 = 109,285/x
  3. Step 3: Cross multiply
    49,874x = 109,285 × 109,285
  4. Step 4: Simplify right side
    49,874x = 11,943,211,225
  5. Step 5: Solve for x
    x = 11,943,211,225/49,874
  6. Step 6: Final answer
    x = 239,467.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.