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Finding the Third Proportional to 83,198 and 125,859

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Solution

The third proportional to 83,198 and 125,859 is: 190,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198 : 125,859 = 125,859 : x
  2. Step 2: Convert to fraction form
    83,198/125,859 = 125,859/x
  3. Step 3: Cross multiply
    83,198x = 125,859 × 125,859
  4. Step 4: Simplify right side
    83,198x = 15,840,487,881
  5. Step 5: Solve for x
    x = 15,840,487,881/83,198
  6. Step 6: Final answer
    x = 190,395.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.