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Finding the Third Proportional to 50,711.06 and 76,074.19

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Solution

The third proportional to 50,711.06 and 76,074.19 is: 114,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.06 : 76,074.19 = 76,074.19 : x
  2. Step 2: Convert to fraction form
    50,711.06/76,074.19 = 76,074.19/x
  3. Step 3: Cross multiply
    50,711.06x = 76,074.19 × 76,074.19
  4. Step 4: Simplify right side
    50,711.06x = 5,787,282,003.79
  5. Step 5: Solve for x
    x = 5,787,282,003.79/50,711.06
  6. Step 6: Final answer
    x = 114,122.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.