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Finding the Third Proportional to 50,727.94 and 78,855.19

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Solution

The third proportional to 50,727.94 and 78,855.19 is: 122,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727.94 : 78,855.19 = 78,855.19 : x
  2. Step 2: Convert to fraction form
    50,727.94/78,855.19 = 78,855.19/x
  3. Step 3: Cross multiply
    50,727.94x = 78,855.19 × 78,855.19
  4. Step 4: Simplify right side
    50,727.94x = 6,218,140,595.66
  5. Step 5: Solve for x
    x = 6,218,140,595.66/50,727.94
  6. Step 6: Final answer
    x = 122,578.23

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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.