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Finding the Third Proportional to 135,252 and 195,926

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Solution

The third proportional to 135,252 and 195,926 is: 283,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252 : 195,926 = 195,926 : x
  2. Step 2: Convert to fraction form
    135,252/195,926 = 195,926/x
  3. Step 3: Cross multiply
    135,252x = 195,926 × 195,926
  4. Step 4: Simplify right side
    135,252x = 38,386,997,476
  5. Step 5: Solve for x
    x = 38,386,997,476/135,252
  6. Step 6: Final answer
    x = 283,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.