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Finding the Third Proportional to 82,739 and 180,651

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Solution

The third proportional to 82,739 and 180,651 is: 394,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,739 : 180,651 = 180,651 : x
  2. Step 2: Convert to fraction form
    82,739/180,651 = 180,651/x
  3. Step 3: Cross multiply
    82,739x = 180,651 × 180,651
  4. Step 4: Simplify right side
    82,739x = 32,634,783,801
  5. Step 5: Solve for x
    x = 32,634,783,801/82,739
  6. Step 6: Final answer
    x = 394,430.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.