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Finding the Third Proportional to 77,391.70 and 119,616.75

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Solution

The third proportional to 77,391.70 and 119,616.75 is: 184,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,391.70 : 119,616.75 = 119,616.75 : x
  2. Step 2: Convert to fraction form
    77,391.70/119,616.75 = 119,616.75/x
  3. Step 3: Cross multiply
    77,391.70x = 119,616.75 × 119,616.75
  4. Step 4: Simplify right side
    77,391.70x = 14,308,166,880.56
  5. Step 5: Solve for x
    x = 14,308,166,880.56/77,391.70
  6. Step 6: Final answer
    x = 184,879.86

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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.