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Finding the Third Proportional to 96,138.42 and 149,247.42

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Solution

The third proportional to 96,138.42 and 149,247.42 is: 231,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138.42 : 149,247.42 = 149,247.42 : x
  2. Step 2: Convert to fraction form
    96,138.42/149,247.42 = 149,247.42/x
  3. Step 3: Cross multiply
    96,138.42x = 149,247.42 × 149,247.42
  4. Step 4: Simplify right side
    96,138.42x = 22,274,792,936.33
  5. Step 5: Solve for x
    x = 22,274,792,936.33/96,138.42
  6. Step 6: Final answer
    x = 231,695.01

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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.