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Finding the Third Proportional to 133,041 and 191,256

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Solution

The third proportional to 133,041 and 191,256 is: 274,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 191,256 = 191,256 : x
  2. Step 2: Convert to fraction form
    133,041/191,256 = 191,256/x
  3. Step 3: Cross multiply
    133,041x = 191,256 × 191,256
  4. Step 4: Simplify right side
    133,041x = 36,578,857,536
  5. Step 5: Solve for x
    x = 36,578,857,536/133,041
  6. Step 6: Final answer
    x = 274,944.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.