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Finding the Third Proportional to 100,586 and 150,903

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Solution

The third proportional to 100,586 and 150,903 is: 226,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586 : 150,903 = 150,903 : x
  2. Step 2: Convert to fraction form
    100,586/150,903 = 150,903/x
  3. Step 3: Cross multiply
    100,586x = 150,903 × 150,903
  4. Step 4: Simplify right side
    100,586x = 22,771,715,409
  5. Step 5: Solve for x
    x = 22,771,715,409/100,586
  6. Step 6: Final answer
    x = 226,390.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.