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Finding the Third Proportional to 73,743.75 and 111,974.91

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Solution

The third proportional to 73,743.75 and 111,974.91 is: 170,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,743.75 : 111,974.91 = 111,974.91 : x
  2. Step 2: Convert to fraction form
    73,743.75/111,974.91 = 111,974.91/x
  3. Step 3: Cross multiply
    73,743.75x = 111,974.91 × 111,974.91
  4. Step 4: Simplify right side
    73,743.75x = 12,538,379,629.70
  5. Step 5: Solve for x
    x = 12,538,379,629.70/73,743.75
  6. Step 6: Final answer
    x = 170,026.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.