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Finding the Third Proportional to 40,356 and 82,351

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Solution

The third proportional to 40,356 and 82,351 is: 168,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,356 : 82,351 = 82,351 : x
  2. Step 2: Convert to fraction form
    40,356/82,351 = 82,351/x
  3. Step 3: Cross multiply
    40,356x = 82,351 × 82,351
  4. Step 4: Simplify right side
    40,356x = 6,781,687,201
  5. Step 5: Solve for x
    x = 6,781,687,201/40,356
  6. Step 6: Final answer
    x = 168,046.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.