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Finding the Third Proportional to 76,864 and 179,533

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Solution

The third proportional to 76,864 and 179,533 is: 419,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 179,533 = 179,533 : x
  2. Step 2: Convert to fraction form
    76,864/179,533 = 179,533/x
  3. Step 3: Cross multiply
    76,864x = 179,533 × 179,533
  4. Step 4: Simplify right side
    76,864x = 32,232,098,089
  5. Step 5: Solve for x
    x = 32,232,098,089/76,864
  6. Step 6: Final answer
    x = 419,339.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.