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Finding the Third Proportional to 40,180 and 86,406

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Solution

The third proportional to 40,180 and 86,406 is: 185,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180 : 86,406 = 86,406 : x
  2. Step 2: Convert to fraction form
    40,180/86,406 = 86,406/x
  3. Step 3: Cross multiply
    40,180x = 86,406 × 86,406
  4. Step 4: Simplify right side
    40,180x = 7,465,996,836
  5. Step 5: Solve for x
    x = 7,465,996,836/40,180
  6. Step 6: Final answer
    x = 185,813.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.