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Finding the Third Proportional to 44,227 and 92,555

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Solution

The third proportional to 44,227 and 92,555 is: 193,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,227 : 92,555 = 92,555 : x
  2. Step 2: Convert to fraction form
    44,227/92,555 = 92,555/x
  3. Step 3: Cross multiply
    44,227x = 92,555 × 92,555
  4. Step 4: Simplify right side
    44,227x = 8,566,428,025
  5. Step 5: Solve for x
    x = 8,566,428,025/44,227
  6. Step 6: Final answer
    x = 193,692.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.