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Finding the Third Proportional to 107,606 and 165,945

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Solution

The third proportional to 107,606 and 165,945 is: 255,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,606 : 165,945 = 165,945 : x
  2. Step 2: Convert to fraction form
    107,606/165,945 = 165,945/x
  3. Step 3: Cross multiply
    107,606x = 165,945 × 165,945
  4. Step 4: Simplify right side
    107,606x = 27,537,743,025
  5. Step 5: Solve for x
    x = 27,537,743,025/107,606
  6. Step 6: Final answer
    x = 255,912.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.