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Finding the Third Proportional to 50,167 and 104,486

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Solution

The third proportional to 50,167 and 104,486 is: 217,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167 : 104,486 = 104,486 : x
  2. Step 2: Convert to fraction form
    50,167/104,486 = 104,486/x
  3. Step 3: Cross multiply
    50,167x = 104,486 × 104,486
  4. Step 4: Simplify right side
    50,167x = 10,917,324,196
  5. Step 5: Solve for x
    x = 10,917,324,196/50,167
  6. Step 6: Final answer
    x = 217,619.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.