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Finding the Third Proportional to 101,191 and 150,966

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Solution

The third proportional to 101,191 and 150,966 is: 225,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,191 : 150,966 = 150,966 : x
  2. Step 2: Convert to fraction form
    101,191/150,966 = 150,966/x
  3. Step 3: Cross multiply
    101,191x = 150,966 × 150,966
  4. Step 4: Simplify right side
    101,191x = 22,790,733,156
  5. Step 5: Solve for x
    x = 22,790,733,156/101,191
  6. Step 6: Final answer
    x = 225,224.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.