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Finding the Third Proportional to 50,466 and 106,161

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Solution

The third proportional to 50,466 and 106,161 is: 223,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,466 : 106,161 = 106,161 : x
  2. Step 2: Convert to fraction form
    50,466/106,161 = 106,161/x
  3. Step 3: Cross multiply
    50,466x = 106,161 × 106,161
  4. Step 4: Simplify right side
    50,466x = 11,270,157,921
  5. Step 5: Solve for x
    x = 11,270,157,921/50,466
  6. Step 6: Final answer
    x = 223,321.80

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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.