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Finding the Third Proportional to 37,801.69 and 79,240.78

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Solution

The third proportional to 37,801.69 and 79,240.78 is: 166,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801.69 : 79,240.78 = 79,240.78 : x
  2. Step 2: Convert to fraction form
    37,801.69/79,240.78 = 79,240.78/x
  3. Step 3: Cross multiply
    37,801.69x = 79,240.78 × 79,240.78
  4. Step 4: Simplify right side
    37,801.69x = 6,279,101,413.11
  5. Step 5: Solve for x
    x = 6,279,101,413.11/37,801.69
  6. Step 6: Final answer
    x = 166,106.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.