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Finding the Third Proportional to 34,756 and 76,424

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Solution

The third proportional to 34,756 and 76,424 is: 168,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,756 : 76,424 = 76,424 : x
  2. Step 2: Convert to fraction form
    34,756/76,424 = 76,424/x
  3. Step 3: Cross multiply
    34,756x = 76,424 × 76,424
  4. Step 4: Simplify right side
    34,756x = 5,840,627,776
  5. Step 5: Solve for x
    x = 5,840,627,776/34,756
  6. Step 6: Final answer
    x = 168,046.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.