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Finding the Third Proportional to 106,802 and 150,235

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Solution

The third proportional to 106,802 and 150,235 is: 211,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802 : 150,235 = 150,235 : x
  2. Step 2: Convert to fraction form
    106,802/150,235 = 150,235/x
  3. Step 3: Cross multiply
    106,802x = 150,235 × 150,235
  4. Step 4: Simplify right side
    106,802x = 22,570,555,225
  5. Step 5: Solve for x
    x = 22,570,555,225/106,802
  6. Step 6: Final answer
    x = 211,330.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.