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Finding the Third Proportional to 69,003.56 and 103,847.06

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Solution

The third proportional to 69,003.56 and 103,847.06 is: 156,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,003.56 : 103,847.06 = 103,847.06 : x
  2. Step 2: Convert to fraction form
    69,003.56/103,847.06 = 103,847.06/x
  3. Step 3: Cross multiply
    69,003.56x = 103,847.06 × 103,847.06
  4. Step 4: Simplify right side
    69,003.56x = 10,784,212,389.88
  5. Step 5: Solve for x
    x = 10,784,212,389.88/69,003.56
  6. Step 6: Final answer
    x = 156,284.86

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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.