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Finding the Third Proportional to 84,171 and 180,165

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Solution

The third proportional to 84,171 and 180,165 is: 385,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171 : 180,165 = 180,165 : x
  2. Step 2: Convert to fraction form
    84,171/180,165 = 180,165/x
  3. Step 3: Cross multiply
    84,171x = 180,165 × 180,165
  4. Step 4: Simplify right side
    84,171x = 32,459,427,225
  5. Step 5: Solve for x
    x = 32,459,427,225/84,171
  6. Step 6: Final answer
    x = 385,636.71

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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.