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Finding the Third Proportional to 43,255 and 92,977

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Solution

The third proportional to 43,255 and 92,977 is: 199,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,255 : 92,977 = 92,977 : x
  2. Step 2: Convert to fraction form
    43,255/92,977 = 92,977/x
  3. Step 3: Cross multiply
    43,255x = 92,977 × 92,977
  4. Step 4: Simplify right side
    43,255x = 8,644,722,529
  5. Step 5: Solve for x
    x = 8,644,722,529/43,255
  6. Step 6: Final answer
    x = 199,854.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.