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Finding the Third Proportional to 83 and 187

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Solution

The third proportional to 83 and 187 is: 421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 187 = 187 : x
  2. Step 2: Convert to fraction form
    83/187 = 187/x
  3. Step 3: Cross multiply
    83x = 187 × 187
  4. Step 4: Simplify right side
    83x = 34,969
  5. Step 5: Solve for x
    x = 34,969/83
  6. Step 6: Final answer
    x = 421.31

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.