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Finding the Third Proportional to 83,219 and 125,891

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Solution

The third proportional to 83,219 and 125,891 is: 190,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219 : 125,891 = 125,891 : x
  2. Step 2: Convert to fraction form
    83,219/125,891 = 125,891/x
  3. Step 3: Cross multiply
    83,219x = 125,891 × 125,891
  4. Step 4: Simplify right side
    83,219x = 15,848,543,881
  5. Step 5: Solve for x
    x = 15,848,543,881/83,219
  6. Step 6: Final answer
    x = 190,443.82

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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.