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Finding the Third Proportional to 52,194.38 and 79,329.38

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Solution

The third proportional to 52,194.38 and 79,329.38 is: 120,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.38 : 79,329.38 = 79,329.38 : x
  2. Step 2: Convert to fraction form
    52,194.38/79,329.38 = 79,329.38/x
  3. Step 3: Cross multiply
    52,194.38x = 79,329.38 × 79,329.38
  4. Step 4: Simplify right side
    52,194.38x = 6,293,149,737.89
  5. Step 5: Solve for x
    x = 6,293,149,737.89/52,194.38
  6. Step 6: Final answer
    x = 120,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.