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Finding the Third Proportional to 45,742 and 92,756

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Solution

The third proportional to 45,742 and 92,756 is: 188,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,742 : 92,756 = 92,756 : x
  2. Step 2: Convert to fraction form
    45,742/92,756 = 92,756/x
  3. Step 3: Cross multiply
    45,742x = 92,756 × 92,756
  4. Step 4: Simplify right side
    45,742x = 8,603,675,536
  5. Step 5: Solve for x
    x = 8,603,675,536/45,742
  6. Step 6: Final answer
    x = 188,091.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.