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Finding the Third Proportional to 50,494 and 106,211

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Solution

The third proportional to 50,494 and 106,211 is: 223,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494 : 106,211 = 106,211 : x
  2. Step 2: Convert to fraction form
    50,494/106,211 = 106,211/x
  3. Step 3: Cross multiply
    50,494x = 106,211 × 106,211
  4. Step 4: Simplify right side
    50,494x = 11,280,776,521
  5. Step 5: Solve for x
    x = 11,280,776,521/50,494
  6. Step 6: Final answer
    x = 223,408.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.