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Finding the Third Proportional to 43,247 and 92,074

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Solution

The third proportional to 43,247 and 92,074 is: 196,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,247 : 92,074 = 92,074 : x
  2. Step 2: Convert to fraction form
    43,247/92,074 = 92,074/x
  3. Step 3: Cross multiply
    43,247x = 92,074 × 92,074
  4. Step 4: Simplify right side
    43,247x = 8,477,621,476
  5. Step 5: Solve for x
    x = 8,477,621,476/43,247
  6. Step 6: Final answer
    x = 196,027.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.