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Finding the Third Proportional to 62,524.50 and 96,825

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Solution

The third proportional to 62,524.50 and 96,825 is: 149,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,524.50 : 96,825 = 96,825 : x
  2. Step 2: Convert to fraction form
    62,524.50/96,825 = 96,825/x
  3. Step 3: Cross multiply
    62,524.50x = 96,825 × 96,825
  4. Step 4: Simplify right side
    62,524.50x = 9,375,080,625
  5. Step 5: Solve for x
    x = 9,375,080,625/62,524.50
  6. Step 6: Final answer
    x = 149,942.51

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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.