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Finding the Third Proportional to 63,638 and 143,779

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Solution

The third proportional to 63,638 and 143,779 is: 324,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,638 : 143,779 = 143,779 : x
  2. Step 2: Convert to fraction form
    63,638/143,779 = 143,779/x
  3. Step 3: Cross multiply
    63,638x = 143,779 × 143,779
  4. Step 4: Simplify right side
    63,638x = 20,672,400,841
  5. Step 5: Solve for x
    x = 20,672,400,841/63,638
  6. Step 6: Final answer
    x = 324,843.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.