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Finding the Third Proportional to 50,198.63 and 77,727.38

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Solution

The third proportional to 50,198.63 and 77,727.38 is: 120,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.63 : 77,727.38 = 77,727.38 : x
  2. Step 2: Convert to fraction form
    50,198.63/77,727.38 = 77,727.38/x
  3. Step 3: Cross multiply
    50,198.63x = 77,727.38 × 77,727.38
  4. Step 4: Simplify right side
    50,198.63x = 6,041,544,824.39
  5. Step 5: Solve for x
    x = 6,041,544,824.39/50,198.63
  6. Step 6: Final answer
    x = 120,352.80

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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.