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Finding the Third Proportional to 135,650 and 205,779

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Solution

The third proportional to 135,650 and 205,779 is: 312,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,650 : 205,779 = 205,779 : x
  2. Step 2: Convert to fraction form
    135,650/205,779 = 205,779/x
  3. Step 3: Cross multiply
    135,650x = 205,779 × 205,779
  4. Step 4: Simplify right side
    135,650x = 42,344,996,841
  5. Step 5: Solve for x
    x = 42,344,996,841/135,650
  6. Step 6: Final answer
    x = 312,163.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.