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Finding the Third Proportional to 50,874 and 106,284

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Solution

The third proportional to 50,874 and 106,284 is: 222,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874 : 106,284 = 106,284 : x
  2. Step 2: Convert to fraction form
    50,874/106,284 = 106,284/x
  3. Step 3: Cross multiply
    50,874x = 106,284 × 106,284
  4. Step 4: Simplify right side
    50,874x = 11,296,288,656
  5. Step 5: Solve for x
    x = 11,296,288,656/50,874
  6. Step 6: Final answer
    x = 222,044.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.