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Finding the Third Proportional to 68,907 and 150,120

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Solution

The third proportional to 68,907 and 150,120 is: 327,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,907 : 150,120 = 150,120 : x
  2. Step 2: Convert to fraction form
    68,907/150,120 = 150,120/x
  3. Step 3: Cross multiply
    68,907x = 150,120 × 150,120
  4. Step 4: Simplify right side
    68,907x = 22,536,014,400
  5. Step 5: Solve for x
    x = 22,536,014,400/68,907
  6. Step 6: Final answer
    x = 327,049.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.