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Finding the Third Proportional to 90,344 and 135,779

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Solution

The third proportional to 90,344 and 135,779 is: 204,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,344 : 135,779 = 135,779 : x
  2. Step 2: Convert to fraction form
    90,344/135,779 = 135,779/x
  3. Step 3: Cross multiply
    90,344x = 135,779 × 135,779
  4. Step 4: Simplify right side
    90,344x = 18,435,936,841
  5. Step 5: Solve for x
    x = 18,435,936,841/90,344
  6. Step 6: Final answer
    x = 204,063.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.