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Finding the Third Proportional to 50,900 and 76,908

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Solution

The third proportional to 50,900 and 76,908 is: 116,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,900 : 76,908 = 76,908 : x
  2. Step 2: Convert to fraction form
    50,900/76,908 = 76,908/x
  3. Step 3: Cross multiply
    50,900x = 76,908 × 76,908
  4. Step 4: Simplify right side
    50,900x = 5,914,840,464
  5. Step 5: Solve for x
    x = 5,914,840,464/50,900
  6. Step 6: Final answer
    x = 116,205.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.