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Finding the Third Proportional to 95,839.50 and 150,039

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Solution

The third proportional to 95,839.50 and 150,039 is: 234,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,839.50 : 150,039 = 150,039 : x
  2. Step 2: Convert to fraction form
    95,839.50/150,039 = 150,039/x
  3. Step 3: Cross multiply
    95,839.50x = 150,039 × 150,039
  4. Step 4: Simplify right side
    95,839.50x = 22,511,701,521
  5. Step 5: Solve for x
    x = 22,511,701,521/95,839.50
  6. Step 6: Final answer
    x = 234,889.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.