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Finding the Third Proportional to 40,344 and 86,247

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Solution

The third proportional to 40,344 and 86,247 is: 184,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,344 : 86,247 = 86,247 : x
  2. Step 2: Convert to fraction form
    40,344/86,247 = 86,247/x
  3. Step 3: Cross multiply
    40,344x = 86,247 × 86,247
  4. Step 4: Simplify right side
    40,344x = 7,438,545,009
  5. Step 5: Solve for x
    x = 7,438,545,009/40,344
  6. Step 6: Final answer
    x = 184,377.97

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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.