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Finding the Third Proportional to 96,163.50 and 149,285.25

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Solution

The third proportional to 96,163.50 and 149,285.25 is: 231,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,163.50 : 149,285.25 = 149,285.25 : x
  2. Step 2: Convert to fraction form
    96,163.50/149,285.25 = 149,285.25/x
  3. Step 3: Cross multiply
    96,163.50x = 149,285.25 × 149,285.25
  4. Step 4: Simplify right side
    96,163.50x = 22,286,085,867.56
  5. Step 5: Solve for x
    x = 22,286,085,867.56/96,163.50
  6. Step 6: Final answer
    x = 231,752.03

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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.