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Finding the Third Proportional to 80,238.94 and 124,175.53

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Solution

The third proportional to 80,238.94 and 124,175.53 is: 192,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,238.94 : 124,175.53 = 124,175.53 : x
  2. Step 2: Convert to fraction form
    80,238.94/124,175.53 = 124,175.53/x
  3. Step 3: Cross multiply
    80,238.94x = 124,175.53 × 124,175.53
  4. Step 4: Simplify right side
    80,238.94x = 15,419,562,561.22
  5. Step 5: Solve for x
    x = 15,419,562,561.22/80,238.94
  6. Step 6: Final answer
    x = 192,170.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.