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Finding the Third Proportional to 43,163 and 94,171

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Solution

The third proportional to 43,163 and 94,171 is: 205,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,163 : 94,171 = 94,171 : x
  2. Step 2: Convert to fraction form
    43,163/94,171 = 94,171/x
  3. Step 3: Cross multiply
    43,163x = 94,171 × 94,171
  4. Step 4: Simplify right side
    43,163x = 8,868,177,241
  5. Step 5: Solve for x
    x = 8,868,177,241/43,163
  6. Step 6: Final answer
    x = 205,457.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.