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Finding the Third Proportional to 52,508 and 113,764

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Solution

The third proportional to 52,508 and 113,764 is: 246,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508 : 113,764 = 113,764 : x
  2. Step 2: Convert to fraction form
    52,508/113,764 = 113,764/x
  3. Step 3: Cross multiply
    52,508x = 113,764 × 113,764
  4. Step 4: Simplify right side
    52,508x = 12,942,247,696
  5. Step 5: Solve for x
    x = 12,942,247,696/52,508
  6. Step 6: Final answer
    x = 246,481.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.