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Finding the Third Proportional to 65,198 and 143,068

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Solution

The third proportional to 65,198 and 143,068 is: 313,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198 : 143,068 = 143,068 : x
  2. Step 2: Convert to fraction form
    65,198/143,068 = 143,068/x
  3. Step 3: Cross multiply
    65,198x = 143,068 × 143,068
  4. Step 4: Simplify right side
    65,198x = 20,468,452,624
  5. Step 5: Solve for x
    x = 20,468,452,624/65,198
  6. Step 6: Final answer
    x = 313,942.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.