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Finding the Third Proportional to 44,227 and 90,757

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Solution

The third proportional to 44,227 and 90,757 is: 186,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,227 : 90,757 = 90,757 : x
  2. Step 2: Convert to fraction form
    44,227/90,757 = 90,757/x
  3. Step 3: Cross multiply
    44,227x = 90,757 × 90,757
  4. Step 4: Simplify right side
    44,227x = 8,236,833,049
  5. Step 5: Solve for x
    x = 8,236,833,049/44,227
  6. Step 6: Final answer
    x = 186,239.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.