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Finding the Third Proportional to 50,928 and 109,698

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Solution

The third proportional to 50,928 and 109,698 is: 236,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,928 : 109,698 = 109,698 : x
  2. Step 2: Convert to fraction form
    50,928/109,698 = 109,698/x
  3. Step 3: Cross multiply
    50,928x = 109,698 × 109,698
  4. Step 4: Simplify right side
    50,928x = 12,033,651,204
  5. Step 5: Solve for x
    x = 12,033,651,204/50,928
  6. Step 6: Final answer
    x = 236,287.53

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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.