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Finding the Third Proportional to 95,949 and 150,175.50

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Solution

The third proportional to 95,949 and 150,175.50 is: 235,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,949 : 150,175.50 = 150,175.50 : x
  2. Step 2: Convert to fraction form
    95,949/150,175.50 = 150,175.50/x
  3. Step 3: Cross multiply
    95,949x = 150,175.50 × 150,175.50
  4. Step 4: Simplify right side
    95,949x = 22,552,680,800.25
  5. Step 5: Solve for x
    x = 22,552,680,800.25/95,949
  6. Step 6: Final answer
    x = 235,048.63

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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.