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Finding the Third Proportional to 45,622 and 100,126

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Solution

The third proportional to 45,622 and 100,126 is: 219,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,622 : 100,126 = 100,126 : x
  2. Step 2: Convert to fraction form
    45,622/100,126 = 100,126/x
  3. Step 3: Cross multiply
    45,622x = 100,126 × 100,126
  4. Step 4: Simplify right side
    45,622x = 10,025,215,876
  5. Step 5: Solve for x
    x = 10,025,215,876/45,622
  6. Step 6: Final answer
    x = 219,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.