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Finding the Third Proportional to 50,167 and 68,791

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Solution

The third proportional to 50,167 and 68,791 is: 94,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167 : 68,791 = 68,791 : x
  2. Step 2: Convert to fraction form
    50,167/68,791 = 68,791/x
  3. Step 3: Cross multiply
    50,167x = 68,791 × 68,791
  4. Step 4: Simplify right side
    50,167x = 4,732,201,681
  5. Step 5: Solve for x
    x = 4,732,201,681/50,167
  6. Step 6: Final answer
    x = 94,328.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.