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Finding the Third Proportional to 73,846 and 110,742

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Solution

The third proportional to 73,846 and 110,742 is: 166,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846 : 110,742 = 110,742 : x
  2. Step 2: Convert to fraction form
    73,846/110,742 = 110,742/x
  3. Step 3: Cross multiply
    73,846x = 110,742 × 110,742
  4. Step 4: Simplify right side
    73,846x = 12,263,790,564
  5. Step 5: Solve for x
    x = 12,263,790,564/73,846
  6. Step 6: Final answer
    x = 166,072.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.