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Finding the Third Proportional to 49,478 and 101,388

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Solution

The third proportional to 49,478 and 101,388 is: 207,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 101,388 = 101,388 : x
  2. Step 2: Convert to fraction form
    49,478/101,388 = 101,388/x
  3. Step 3: Cross multiply
    49,478x = 101,388 × 101,388
  4. Step 4: Simplify right side
    49,478x = 10,279,526,544
  5. Step 5: Solve for x
    x = 10,279,526,544/49,478
  6. Step 6: Final answer
    x = 207,759.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.