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Finding the Third Proportional to 69,382.50 and 103,794.75

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Solution

The third proportional to 69,382.50 and 103,794.75 is: 155,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382.50 : 103,794.75 = 103,794.75 : x
  2. Step 2: Convert to fraction form
    69,382.50/103,794.75 = 103,794.75/x
  3. Step 3: Cross multiply
    69,382.50x = 103,794.75 × 103,794.75
  4. Step 4: Simplify right side
    69,382.50x = 10,773,350,127.56
  5. Step 5: Solve for x
    x = 10,773,350,127.56/69,382.50
  6. Step 6: Final answer
    x = 155,274.75

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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.