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Finding the Third Proportional to 76,105.50 and 119,382.75

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Solution

The third proportional to 76,105.50 and 119,382.75 is: 187,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,105.50 : 119,382.75 = 119,382.75 : x
  2. Step 2: Convert to fraction form
    76,105.50/119,382.75 = 119,382.75/x
  3. Step 3: Cross multiply
    76,105.50x = 119,382.75 × 119,382.75
  4. Step 4: Simplify right side
    76,105.50x = 14,252,240,997.56
  5. Step 5: Solve for x
    x = 14,252,240,997.56/76,105.50
  6. Step 6: Final answer
    x = 187,269.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.