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Finding the Third Proportional to 41,187 and 84,314

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Solution

The third proportional to 41,187 and 84,314 is: 172,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,187 : 84,314 = 84,314 : x
  2. Step 2: Convert to fraction form
    41,187/84,314 = 84,314/x
  3. Step 3: Cross multiply
    41,187x = 84,314 × 84,314
  4. Step 4: Simplify right side
    41,187x = 7,108,850,596
  5. Step 5: Solve for x
    x = 7,108,850,596/41,187
  6. Step 6: Final answer
    x = 172,599.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.