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Finding the Third Proportional to 67,954 and 144,162

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Solution

The third proportional to 67,954 and 144,162 is: 305,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,954 : 144,162 = 144,162 : x
  2. Step 2: Convert to fraction form
    67,954/144,162 = 144,162/x
  3. Step 3: Cross multiply
    67,954x = 144,162 × 144,162
  4. Step 4: Simplify right side
    67,954x = 20,782,682,244
  5. Step 5: Solve for x
    x = 20,782,682,244/67,954
  6. Step 6: Final answer
    x = 305,834.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.