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Finding the Third Proportional to 82,647 and 180,693

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Solution

The third proportional to 82,647 and 180,693 is: 395,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647 : 180,693 = 180,693 : x
  2. Step 2: Convert to fraction form
    82,647/180,693 = 180,693/x
  3. Step 3: Cross multiply
    82,647x = 180,693 × 180,693
  4. Step 4: Simplify right side
    82,647x = 32,649,960,249
  5. Step 5: Solve for x
    x = 32,649,960,249/82,647
  6. Step 6: Final answer
    x = 395,053.18

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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.