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Finding the Third Proportional to 52,912 and 110,198

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Solution

The third proportional to 52,912 and 110,198 is: 229,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912 : 110,198 = 110,198 : x
  2. Step 2: Convert to fraction form
    52,912/110,198 = 110,198/x
  3. Step 3: Cross multiply
    52,912x = 110,198 × 110,198
  4. Step 4: Simplify right side
    52,912x = 12,143,599,204
  5. Step 5: Solve for x
    x = 12,143,599,204/52,912
  6. Step 6: Final answer
    x = 229,505.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.