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Finding the Third Proportional to 50,227 and 77,821

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Solution

The third proportional to 50,227 and 77,821 is: 120,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227 : 77,821 = 77,821 : x
  2. Step 2: Convert to fraction form
    50,227/77,821 = 77,821/x
  3. Step 3: Cross multiply
    50,227x = 77,821 × 77,821
  4. Step 4: Simplify right side
    50,227x = 6,056,108,041
  5. Step 5: Solve for x
    x = 6,056,108,041/50,227
  6. Step 6: Final answer
    x = 120,574.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.