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Finding the Third Proportional to 51,231.75 and 76,320.75

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Solution

The third proportional to 51,231.75 and 76,320.75 is: 113,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,231.75 : 76,320.75 = 76,320.75 : x
  2. Step 2: Convert to fraction form
    51,231.75/76,320.75 = 76,320.75/x
  3. Step 3: Cross multiply
    51,231.75x = 76,320.75 × 76,320.75
  4. Step 4: Simplify right side
    51,231.75x = 5,824,856,880.56
  5. Step 5: Solve for x
    x = 5,824,856,880.56/51,231.75
  6. Step 6: Final answer
    x = 113,696.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.