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Finding the Third Proportional to 40,197 and 87,311

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Solution

The third proportional to 40,197 and 87,311 is: 189,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,197 : 87,311 = 87,311 : x
  2. Step 2: Convert to fraction form
    40,197/87,311 = 87,311/x
  3. Step 3: Cross multiply
    40,197x = 87,311 × 87,311
  4. Step 4: Simplify right side
    40,197x = 7,623,210,721
  5. Step 5: Solve for x
    x = 7,623,210,721/40,197
  6. Step 6: Final answer
    x = 189,646.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.