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Finding the Third Proportional to 71,756 and 110,662

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Solution

The third proportional to 71,756 and 110,662 is: 170,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756 : 110,662 = 110,662 : x
  2. Step 2: Convert to fraction form
    71,756/110,662 = 110,662/x
  3. Step 3: Cross multiply
    71,756x = 110,662 × 110,662
  4. Step 4: Simplify right side
    71,756x = 12,246,078,244
  5. Step 5: Solve for x
    x = 12,246,078,244/71,756
  6. Step 6: Final answer
    x = 170,662.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.