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Finding the Third Proportional to 36,162 and 87,111

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Solution

The third proportional to 36,162 and 87,111 is: 209,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162 : 87,111 = 87,111 : x
  2. Step 2: Convert to fraction form
    36,162/87,111 = 87,111/x
  3. Step 3: Cross multiply
    36,162x = 87,111 × 87,111
  4. Step 4: Simplify right side
    36,162x = 7,588,326,321
  5. Step 5: Solve for x
    x = 7,588,326,321/36,162
  6. Step 6: Final answer
    x = 209,842.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.