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Finding the Third Proportional to 50,166 and 77,640.75

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Solution

The third proportional to 50,166 and 77,640.75 is: 120,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,166 : 77,640.75 = 77,640.75 : x
  2. Step 2: Convert to fraction form
    50,166/77,640.75 = 77,640.75/x
  3. Step 3: Cross multiply
    50,166x = 77,640.75 × 77,640.75
  4. Step 4: Simplify right side
    50,166x = 6,028,086,060.56
  5. Step 5: Solve for x
    x = 6,028,086,060.56/50,166
  6. Step 6: Final answer
    x = 120,162.78

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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.