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Finding the Third Proportional to 50,976 and 109,818

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Solution

The third proportional to 50,976 and 109,818 is: 236,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 109,818 = 109,818 : x
  2. Step 2: Convert to fraction form
    50,976/109,818 = 109,818/x
  3. Step 3: Cross multiply
    50,976x = 109,818 × 109,818
  4. Step 4: Simplify right side
    50,976x = 12,059,993,124
  5. Step 5: Solve for x
    x = 12,059,993,124/50,976
  6. Step 6: Final answer
    x = 236,581.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.