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Finding the Third Proportional to 51,351.79 and 76,601.95

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Solution

The third proportional to 51,351.79 and 76,601.95 is: 114,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351.79 : 76,601.95 = 76,601.95 : x
  2. Step 2: Convert to fraction form
    51,351.79/76,601.95 = 76,601.95/x
  3. Step 3: Cross multiply
    51,351.79x = 76,601.95 × 76,601.95
  4. Step 4: Simplify right side
    51,351.79x = 5,867,859,222.56
  5. Step 5: Solve for x
    x = 5,867,859,222.56/51,351.79
  6. Step 6: Final answer
    x = 114,267.87

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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.