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Finding the Third Proportional to 50,936 and 109,672

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Solution

The third proportional to 50,936 and 109,672 is: 236,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,936 : 109,672 = 109,672 : x
  2. Step 2: Convert to fraction form
    50,936/109,672 = 109,672/x
  3. Step 3: Cross multiply
    50,936x = 109,672 × 109,672
  4. Step 4: Simplify right side
    50,936x = 12,027,947,584
  5. Step 5: Solve for x
    x = 12,027,947,584/50,936
  6. Step 6: Final answer
    x = 236,138.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.