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Finding the Third Proportional to 41,880 and 84,975

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Solution

The third proportional to 41,880 and 84,975 is: 172,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880 : 84,975 = 84,975 : x
  2. Step 2: Convert to fraction form
    41,880/84,975 = 84,975/x
  3. Step 3: Cross multiply
    41,880x = 84,975 × 84,975
  4. Step 4: Simplify right side
    41,880x = 7,220,750,625
  5. Step 5: Solve for x
    x = 7,220,750,625/41,880
  6. Step 6: Final answer
    x = 172,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.