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Finding the Third Proportional to 28,198 and 61,256

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Solution

The third proportional to 28,198 and 61,256 is: 133,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198 : 61,256 = 61,256 : x
  2. Step 2: Convert to fraction form
    28,198/61,256 = 61,256/x
  3. Step 3: Cross multiply
    28,198x = 61,256 × 61,256
  4. Step 4: Simplify right side
    28,198x = 3,752,297,536
  5. Step 5: Solve for x
    x = 3,752,297,536/28,198
  6. Step 6: Final answer
    x = 133,069.63

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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.