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Finding the Third Proportional to 50,476.78 and 79,194.23

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Solution

The third proportional to 50,476.78 and 79,194.23 is: 124,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476.78 : 79,194.23 = 79,194.23 : x
  2. Step 2: Convert to fraction form
    50,476.78/79,194.23 = 79,194.23/x
  3. Step 3: Cross multiply
    50,476.78x = 79,194.23 × 79,194.23
  4. Step 4: Simplify right side
    50,476.78x = 6,271,726,758.24
  5. Step 5: Solve for x
    x = 6,271,726,758.24/50,476.78
  6. Step 6: Final answer
    x = 124,249.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.