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Finding the Third Proportional to 106,728 and 150,165

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Solution

The third proportional to 106,728 and 150,165 is: 211,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,728 : 150,165 = 150,165 : x
  2. Step 2: Convert to fraction form
    106,728/150,165 = 150,165/x
  3. Step 3: Cross multiply
    106,728x = 150,165 × 150,165
  4. Step 4: Simplify right side
    106,728x = 22,549,527,225
  5. Step 5: Solve for x
    x = 22,549,527,225/106,728
  6. Step 6: Final answer
    x = 211,280.33

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Why These Related Problems?

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