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Finding the Third Proportional to 23,198 and 50,084

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Solution

The third proportional to 23,198 and 50,084 is: 108,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198 : 50,084 = 50,084 : x
  2. Step 2: Convert to fraction form
    23,198/50,084 = 50,084/x
  3. Step 3: Cross multiply
    23,198x = 50,084 × 50,084
  4. Step 4: Simplify right side
    23,198x = 2,508,407,056
  5. Step 5: Solve for x
    x = 2,508,407,056/23,198
  6. Step 6: Final answer
    x = 108,130.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.