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Finding the Third Proportional to 117,907 and 166,675

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Solution

The third proportional to 117,907 and 166,675 is: 235,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,907 : 166,675 = 166,675 : x
  2. Step 2: Convert to fraction form
    117,907/166,675 = 166,675/x
  3. Step 3: Cross multiply
    117,907x = 166,675 × 166,675
  4. Step 4: Simplify right side
    117,907x = 27,780,555,625
  5. Step 5: Solve for x
    x = 27,780,555,625/117,907
  6. Step 6: Final answer
    x = 235,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.