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Finding the Third Proportional to 40,285 and 87,266

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Solution

The third proportional to 40,285 and 87,266 is: 189,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,285 : 87,266 = 87,266 : x
  2. Step 2: Convert to fraction form
    40,285/87,266 = 87,266/x
  3. Step 3: Cross multiply
    40,285x = 87,266 × 87,266
  4. Step 4: Simplify right side
    40,285x = 7,615,354,756
  5. Step 5: Solve for x
    x = 7,615,354,756/40,285
  6. Step 6: Final answer
    x = 189,036.98

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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.