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Finding the Third Proportional to 83,843.44 and 124,625.25

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Solution

The third proportional to 83,843.44 and 124,625.25 is: 185,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.44 : 124,625.25 = 124,625.25 : x
  2. Step 2: Convert to fraction form
    83,843.44/124,625.25 = 124,625.25/x
  3. Step 3: Cross multiply
    83,843.44x = 124,625.25 × 124,625.25
  4. Step 4: Simplify right side
    83,843.44x = 15,531,452,937.56
  5. Step 5: Solve for x
    x = 15,531,452,937.56/83,843.44
  6. Step 6: Final answer
    x = 185,243.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.