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Finding the Third Proportional to 50,229 and 68,217.75

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Solution

The third proportional to 50,229 and 68,217.75 is: 92,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229 : 68,217.75 = 68,217.75 : x
  2. Step 2: Convert to fraction form
    50,229/68,217.75 = 68,217.75/x
  3. Step 3: Cross multiply
    50,229x = 68,217.75 × 68,217.75
  4. Step 4: Simplify right side
    50,229x = 4,653,661,415.06
  5. Step 5: Solve for x
    x = 4,653,661,415.06/50,229
  6. Step 6: Final answer
    x = 92,648.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.