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Finding the Third Proportional to 106,586 and 159,147

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Solution

The third proportional to 106,586 and 159,147 is: 237,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,586 : 159,147 = 159,147 : x
  2. Step 2: Convert to fraction form
    106,586/159,147 = 159,147/x
  3. Step 3: Cross multiply
    106,586x = 159,147 × 159,147
  4. Step 4: Simplify right side
    106,586x = 25,327,767,609
  5. Step 5: Solve for x
    x = 25,327,767,609/106,586
  6. Step 6: Final answer
    x = 237,627.53

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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.