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Finding the Third Proportional to 99,635 and 150,182

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Solution

The third proportional to 99,635 and 150,182 is: 226,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,635 : 150,182 = 150,182 : x
  2. Step 2: Convert to fraction form
    99,635/150,182 = 150,182/x
  3. Step 3: Cross multiply
    99,635x = 150,182 × 150,182
  4. Step 4: Simplify right side
    99,635x = 22,554,633,124
  5. Step 5: Solve for x
    x = 22,554,633,124/99,635
  6. Step 6: Final answer
    x = 226,372.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.