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Finding the Third Proportional to 50,421 and 73,266

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Solution

The third proportional to 50,421 and 73,266 is: 106,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421 : 73,266 = 73,266 : x
  2. Step 2: Convert to fraction form
    50,421/73,266 = 73,266/x
  3. Step 3: Cross multiply
    50,421x = 73,266 × 73,266
  4. Step 4: Simplify right side
    50,421x = 5,367,906,756
  5. Step 5: Solve for x
    x = 5,367,906,756/50,421
  6. Step 6: Final answer
    x = 106,461.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.