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Finding the Third Proportional to 68,992 and 150,899

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Solution

The third proportional to 68,992 and 150,899 is: 330,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,992 : 150,899 = 150,899 : x
  2. Step 2: Convert to fraction form
    68,992/150,899 = 150,899/x
  3. Step 3: Cross multiply
    68,992x = 150,899 × 150,899
  4. Step 4: Simplify right side
    68,992x = 22,770,508,201
  5. Step 5: Solve for x
    x = 22,770,508,201/68,992
  6. Step 6: Final answer
    x = 330,045.63

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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.