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Finding the Third Proportional to 81,186 and 175,296

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Solution

The third proportional to 81,186 and 175,296 is: 378,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,186 : 175,296 = 175,296 : x
  2. Step 2: Convert to fraction form
    81,186/175,296 = 175,296/x
  3. Step 3: Cross multiply
    81,186x = 175,296 × 175,296
  4. Step 4: Simplify right side
    81,186x = 30,728,687,616
  5. Step 5: Solve for x
    x = 30,728,687,616/81,186
  6. Step 6: Final answer
    x = 378,497.37

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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.