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Finding the Third Proportional to 49,125 and 100,311

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Solution

The third proportional to 49,125 and 100,311 is: 204,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125 : 100,311 = 100,311 : x
  2. Step 2: Convert to fraction form
    49,125/100,311 = 100,311/x
  3. Step 3: Cross multiply
    49,125x = 100,311 × 100,311
  4. Step 4: Simplify right side
    49,125x = 10,062,296,721
  5. Step 5: Solve for x
    x = 10,062,296,721/49,125
  6. Step 6: Final answer
    x = 204,830.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.