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Finding the Third Proportional to 108,939 and 150,015

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Solution

The third proportional to 108,939 and 150,015 is: 206,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,939 : 150,015 = 150,015 : x
  2. Step 2: Convert to fraction form
    108,939/150,015 = 150,015/x
  3. Step 3: Cross multiply
    108,939x = 150,015 × 150,015
  4. Step 4: Simplify right side
    108,939x = 22,504,500,225
  5. Step 5: Solve for x
    x = 22,504,500,225/108,939
  6. Step 6: Final answer
    x = 206,578.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.