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Finding the Third Proportional to 69,391.69 and 103,897.69

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Solution

The third proportional to 69,391.69 and 103,897.69 is: 155,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,391.69 : 103,897.69 = 103,897.69 : x
  2. Step 2: Convert to fraction form
    69,391.69/103,897.69 = 103,897.69/x
  3. Step 3: Cross multiply
    69,391.69x = 103,897.69 × 103,897.69
  4. Step 4: Simplify right side
    69,391.69x = 10,794,729,467.85
  5. Step 5: Solve for x
    x = 10,794,729,467.85/69,391.69
  6. Step 6: Final answer
    x = 155,562.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.