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Finding the Third Proportional to 40,186 and 86,852

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Solution

The third proportional to 40,186 and 86,852 is: 187,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186 : 86,852 = 86,852 : x
  2. Step 2: Convert to fraction form
    40,186/86,852 = 86,852/x
  3. Step 3: Cross multiply
    40,186x = 86,852 × 86,852
  4. Step 4: Simplify right side
    40,186x = 7,543,269,904
  5. Step 5: Solve for x
    x = 7,543,269,904/40,186
  6. Step 6: Final answer
    x = 187,708.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.