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Finding the Third Proportional to 41,843.50 and 92,175

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Solution

The third proportional to 41,843.50 and 92,175 is: 203,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,843.50 : 92,175 = 92,175 : x
  2. Step 2: Convert to fraction form
    41,843.50/92,175 = 92,175/x
  3. Step 3: Cross multiply
    41,843.50x = 92,175 × 92,175
  4. Step 4: Simplify right side
    41,843.50x = 8,496,230,625
  5. Step 5: Solve for x
    x = 8,496,230,625/41,843.50
  6. Step 6: Final answer
    x = 203,047.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.