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Finding the Third Proportional to 50,892 and 76,896

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Solution

The third proportional to 50,892 and 76,896 is: 116,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 76,896 = 76,896 : x
  2. Step 2: Convert to fraction form
    50,892/76,896 = 76,896/x
  3. Step 3: Cross multiply
    50,892x = 76,896 × 76,896
  4. Step 4: Simplify right side
    50,892x = 5,912,994,816
  5. Step 5: Solve for x
    x = 5,912,994,816/50,892
  6. Step 6: Final answer
    x = 116,187.12

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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.