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Finding the Third Proportional to 49,496 and 104,512

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Solution

The third proportional to 49,496 and 104,512 is: 220,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496 : 104,512 = 104,512 : x
  2. Step 2: Convert to fraction form
    49,496/104,512 = 104,512/x
  3. Step 3: Cross multiply
    49,496x = 104,512 × 104,512
  4. Step 4: Simplify right side
    49,496x = 10,922,758,144
  5. Step 5: Solve for x
    x = 10,922,758,144/49,496
  6. Step 6: Final answer
    x = 220,679.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.