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Finding the Third Proportional to 50,890 and 76,892

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Solution

The third proportional to 50,890 and 76,892 is: 116,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890 : 76,892 = 76,892 : x
  2. Step 2: Convert to fraction form
    50,890/76,892 = 76,892/x
  3. Step 3: Cross multiply
    50,890x = 76,892 × 76,892
  4. Step 4: Simplify right side
    50,890x = 5,912,379,664
  5. Step 5: Solve for x
    x = 5,912,379,664/50,890
  6. Step 6: Final answer
    x = 116,179.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.