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Finding the Third Proportional to 135,657 and 199,425

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Solution

The third proportional to 135,657 and 199,425 is: 293,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657 : 199,425 = 199,425 : x
  2. Step 2: Convert to fraction form
    135,657/199,425 = 199,425/x
  3. Step 3: Cross multiply
    135,657x = 199,425 × 199,425
  4. Step 4: Simplify right side
    135,657x = 39,770,330,625
  5. Step 5: Solve for x
    x = 39,770,330,625/135,657
  6. Step 6: Final answer
    x = 293,168.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.