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Finding the Third Proportional to 68,112 and 143,568

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Solution

The third proportional to 68,112 and 143,568 is: 302,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,112 : 143,568 = 143,568 : x
  2. Step 2: Convert to fraction form
    68,112/143,568 = 143,568/x
  3. Step 3: Cross multiply
    68,112x = 143,568 × 143,568
  4. Step 4: Simplify right side
    68,112x = 20,611,770,624
  5. Step 5: Solve for x
    x = 20,611,770,624/68,112
  6. Step 6: Final answer
    x = 302,615.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.