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Finding the Third Proportional to 50,231 and 77,723

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Solution

The third proportional to 50,231 and 77,723 is: 120,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231 : 77,723 = 77,723 : x
  2. Step 2: Convert to fraction form
    50,231/77,723 = 77,723/x
  3. Step 3: Cross multiply
    50,231x = 77,723 × 77,723
  4. Step 4: Simplify right side
    50,231x = 6,040,864,729
  5. Step 5: Solve for x
    x = 6,040,864,729/50,231
  6. Step 6: Final answer
    x = 120,261.69

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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.