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Finding the Third Proportional to 68,542 and 104,756

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Solution

The third proportional to 68,542 and 104,756 is: 160,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542 : 104,756 = 104,756 : x
  2. Step 2: Convert to fraction form
    68,542/104,756 = 104,756/x
  3. Step 3: Cross multiply
    68,542x = 104,756 × 104,756
  4. Step 4: Simplify right side
    68,542x = 10,973,819,536
  5. Step 5: Solve for x
    x = 10,973,819,536/68,542
  6. Step 6: Final answer
    x = 160,103.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.