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Finding the Third Proportional to 50,002 and 105,622

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Solution

The third proportional to 50,002 and 105,622 is: 223,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002 : 105,622 = 105,622 : x
  2. Step 2: Convert to fraction form
    50,002/105,622 = 105,622/x
  3. Step 3: Cross multiply
    50,002x = 105,622 × 105,622
  4. Step 4: Simplify right side
    50,002x = 11,156,006,884
  5. Step 5: Solve for x
    x = 11,156,006,884/50,002
  6. Step 6: Final answer
    x = 223,111.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.