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Finding the Third Proportional to 96,392.25 and 150,738.75

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Solution

The third proportional to 96,392.25 and 150,738.75 is: 235,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,392.25 : 150,738.75 = 150,738.75 : x
  2. Step 2: Convert to fraction form
    96,392.25/150,738.75 = 150,738.75/x
  3. Step 3: Cross multiply
    96,392.25x = 150,738.75 × 150,738.75
  4. Step 4: Simplify right side
    96,392.25x = 22,722,170,751.56
  5. Step 5: Solve for x
    x = 22,722,170,751.56/96,392.25
  6. Step 6: Final answer
    x = 235,726.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.