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Finding the Third Proportional to 68,591.25 and 104,103

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Solution

The third proportional to 68,591.25 and 104,103 is: 158,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,591.25 : 104,103 = 104,103 : x
  2. Step 2: Convert to fraction form
    68,591.25/104,103 = 104,103/x
  3. Step 3: Cross multiply
    68,591.25x = 104,103 × 104,103
  4. Step 4: Simplify right side
    68,591.25x = 10,837,434,609
  5. Step 5: Solve for x
    x = 10,837,434,609/68,591.25
  6. Step 6: Final answer
    x = 158,000.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.