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Finding the Third Proportional to 50,914 and 76,467

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Solution

The third proportional to 50,914 and 76,467 is: 114,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914 : 76,467 = 76,467 : x
  2. Step 2: Convert to fraction form
    50,914/76,467 = 76,467/x
  3. Step 3: Cross multiply
    50,914x = 76,467 × 76,467
  4. Step 4: Simplify right side
    50,914x = 5,847,202,089
  5. Step 5: Solve for x
    x = 5,847,202,089/50,914
  6. Step 6: Final answer
    x = 114,844.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.