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Finding the Third Proportional to 81,540 and 179,633

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Solution

The third proportional to 81,540 and 179,633 is: 395,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 179,633 = 179,633 : x
  2. Step 2: Convert to fraction form
    81,540/179,633 = 179,633/x
  3. Step 3: Cross multiply
    81,540x = 179,633 × 179,633
  4. Step 4: Simplify right side
    81,540x = 32,268,014,689
  5. Step 5: Solve for x
    x = 32,268,014,689/81,540
  6. Step 6: Final answer
    x = 395,732.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.