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Finding the Third Proportional to 43,400 and 94,288

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Solution

The third proportional to 43,400 and 94,288 is: 204,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,400 : 94,288 = 94,288 : x
  2. Step 2: Convert to fraction form
    43,400/94,288 = 94,288/x
  3. Step 3: Cross multiply
    43,400x = 94,288 × 94,288
  4. Step 4: Simplify right side
    43,400x = 8,890,226,944
  5. Step 5: Solve for x
    x = 8,890,226,944/43,400
  6. Step 6: Final answer
    x = 204,843.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.