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Finding the Third Proportional to 82,779 and 126,837

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Solution

The third proportional to 82,779 and 126,837 is: 194,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779 : 126,837 = 126,837 : x
  2. Step 2: Convert to fraction form
    82,779/126,837 = 126,837/x
  3. Step 3: Cross multiply
    82,779x = 126,837 × 126,837
  4. Step 4: Simplify right side
    82,779x = 16,087,624,569
  5. Step 5: Solve for x
    x = 16,087,624,569/82,779
  6. Step 6: Final answer
    x = 194,344.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.