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Finding the Third Proportional to 63,579 and 135,375

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Solution

The third proportional to 63,579 and 135,375 is: 288,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,579 : 135,375 = 135,375 : x
  2. Step 2: Convert to fraction form
    63,579/135,375 = 135,375/x
  3. Step 3: Cross multiply
    63,579x = 135,375 × 135,375
  4. Step 4: Simplify right side
    63,579x = 18,326,390,625
  5. Step 5: Solve for x
    x = 18,326,390,625/63,579
  6. Step 6: Final answer
    x = 288,245.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.