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Finding the Third Proportional to 43,162 and 92,320

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Solution

The third proportional to 43,162 and 92,320 is: 197,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,162 : 92,320 = 92,320 : x
  2. Step 2: Convert to fraction form
    43,162/92,320 = 92,320/x
  3. Step 3: Cross multiply
    43,162x = 92,320 × 92,320
  4. Step 4: Simplify right side
    43,162x = 8,522,982,400
  5. Step 5: Solve for x
    x = 8,522,982,400/43,162
  6. Step 6: Final answer
    x = 197,464.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.