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Finding the Third Proportional to 69,099.75 and 140,567.06

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Solution

The third proportional to 69,099.75 and 140,567.06 is: 285,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,099.75 : 140,567.06 = 140,567.06 : x
  2. Step 2: Convert to fraction form
    69,099.75/140,567.06 = 140,567.06/x
  3. Step 3: Cross multiply
    69,099.75x = 140,567.06 × 140,567.06
  4. Step 4: Simplify right side
    69,099.75x = 19,759,099,059.88
  5. Step 5: Solve for x
    x = 19,759,099,059.88/69,099.75
  6. Step 6: Final answer
    x = 285,950.37

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.