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Finding the Third Proportional to 50,508 and 106,341

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Solution

The third proportional to 50,508 and 106,341 is: 223,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508 : 106,341 = 106,341 : x
  2. Step 2: Convert to fraction form
    50,508/106,341 = 106,341/x
  3. Step 3: Cross multiply
    50,508x = 106,341 × 106,341
  4. Step 4: Simplify right side
    50,508x = 11,308,408,281
  5. Step 5: Solve for x
    x = 11,308,408,281/50,508
  6. Step 6: Final answer
    x = 223,893.41

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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.