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Finding the Third Proportional to 104,978.75 and 108,002.75

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Solution

The third proportional to 104,978.75 and 108,002.75 is: 111,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,978.75 : 108,002.75 = 108,002.75 : x
  2. Step 2: Convert to fraction form
    104,978.75/108,002.75 = 108,002.75/x
  3. Step 3: Cross multiply
    104,978.75x = 108,002.75 × 108,002.75
  4. Step 4: Simplify right side
    104,978.75x = 11,664,594,007.56
  5. Step 5: Solve for x
    x = 11,664,594,007.56/104,978.75
  6. Step 6: Final answer
    x = 111,113.86

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.