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Finding the Third Proportional to 79,606 and 173,975

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Solution

The third proportional to 79,606 and 173,975 is: 380,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,606 : 173,975 = 173,975 : x
  2. Step 2: Convert to fraction form
    79,606/173,975 = 173,975/x
  3. Step 3: Cross multiply
    79,606x = 173,975 × 173,975
  4. Step 4: Simplify right side
    79,606x = 30,267,300,625
  5. Step 5: Solve for x
    x = 30,267,300,625/79,606
  6. Step 6: Final answer
    x = 380,213.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.