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Finding the Third Proportional to 82,201 and 179,620

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Solution

The third proportional to 82,201 and 179,620 is: 392,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201 : 179,620 = 179,620 : x
  2. Step 2: Convert to fraction form
    82,201/179,620 = 179,620/x
  3. Step 3: Cross multiply
    82,201x = 179,620 × 179,620
  4. Step 4: Simplify right side
    82,201x = 32,263,344,400
  5. Step 5: Solve for x
    x = 32,263,344,400/82,201
  6. Step 6: Final answer
    x = 392,493.33

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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.