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Finding the Third Proportional to 50,217.75 and 77,722.75

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Solution

The third proportional to 50,217.75 and 77,722.75 is: 120,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,217.75 : 77,722.75 = 77,722.75 : x
  2. Step 2: Convert to fraction form
    50,217.75/77,722.75 = 77,722.75/x
  3. Step 3: Cross multiply
    50,217.75x = 77,722.75 × 77,722.75
  4. Step 4: Simplify right side
    50,217.75x = 6,040,825,867.56
  5. Step 5: Solve for x
    x = 6,040,825,867.56/50,217.75
  6. Step 6: Final answer
    x = 120,292.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.