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Finding the Third Proportional to 84,783 and 179,016

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Solution

The third proportional to 84,783 and 179,016 is: 377,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,783 : 179,016 = 179,016 : x
  2. Step 2: Convert to fraction form
    84,783/179,016 = 179,016/x
  3. Step 3: Cross multiply
    84,783x = 179,016 × 179,016
  4. Step 4: Simplify right side
    84,783x = 32,046,728,256
  5. Step 5: Solve for x
    x = 32,046,728,256/84,783
  6. Step 6: Final answer
    x = 377,985.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.