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Finding the Third Proportional to 73,733.25 and 111,204

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Solution

The third proportional to 73,733.25 and 111,204 is: 167,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,733.25 : 111,204 = 111,204 : x
  2. Step 2: Convert to fraction form
    73,733.25/111,204 = 111,204/x
  3. Step 3: Cross multiply
    73,733.25x = 111,204 × 111,204
  4. Step 4: Simplify right side
    73,733.25x = 12,366,329,616
  5. Step 5: Solve for x
    x = 12,366,329,616/73,733.25
  6. Step 6: Final answer
    x = 167,717.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.