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Finding the Third Proportional to 50,167 and 77,721

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Solution

The third proportional to 50,167 and 77,721 is: 120,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167 : 77,721 = 77,721 : x
  2. Step 2: Convert to fraction form
    50,167/77,721 = 77,721/x
  3. Step 3: Cross multiply
    50,167x = 77,721 × 77,721
  4. Step 4: Simplify right side
    50,167x = 6,040,553,841
  5. Step 5: Solve for x
    x = 6,040,553,841/50,167
  6. Step 6: Final answer
    x = 120,408.91

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