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Finding the Third Proportional to 69,093.94 and 103,620.66

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Solution

The third proportional to 69,093.94 and 103,620.66 is: 155,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,093.94 : 103,620.66 = 103,620.66 : x
  2. Step 2: Convert to fraction form
    69,093.94/103,620.66 = 103,620.66/x
  3. Step 3: Cross multiply
    69,093.94x = 103,620.66 × 103,620.66
  4. Step 4: Simplify right side
    69,093.94x = 10,737,240,401.68
  5. Step 5: Solve for x
    x = 10,737,240,401.68/69,093.94
  6. Step 6: Final answer
    x = 155,400.62

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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.