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Finding the Third Proportional to 81,813 and 179,241

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Solution

The third proportional to 81,813 and 179,241 is: 392,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813 : 179,241 = 179,241 : x
  2. Step 2: Convert to fraction form
    81,813/179,241 = 179,241/x
  3. Step 3: Cross multiply
    81,813x = 179,241 × 179,241
  4. Step 4: Simplify right side
    81,813x = 32,127,336,081
  5. Step 5: Solve for x
    x = 32,127,336,081/81,813
  6. Step 6: Final answer
    x = 392,692.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.