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Finding the Third Proportional to 69,948 and 150,950

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Solution

The third proportional to 69,948 and 150,950 is: 325,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,948 : 150,950 = 150,950 : x
  2. Step 2: Convert to fraction form
    69,948/150,950 = 150,950/x
  3. Step 3: Cross multiply
    69,948x = 150,950 × 150,950
  4. Step 4: Simplify right side
    69,948x = 22,785,902,500
  5. Step 5: Solve for x
    x = 22,785,902,500/69,948
  6. Step 6: Final answer
    x = 325,754.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.