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Finding the Third Proportional to 50,377 and 68,174

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Solution

The third proportional to 50,377 and 68,174 is: 92,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,377 : 68,174 = 68,174 : x
  2. Step 2: Convert to fraction form
    50,377/68,174 = 68,174/x
  3. Step 3: Cross multiply
    50,377x = 68,174 × 68,174
  4. Step 4: Simplify right side
    50,377x = 4,647,694,276
  5. Step 5: Solve for x
    x = 4,647,694,276/50,377
  6. Step 6: Final answer
    x = 92,258.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.