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Finding the Third Proportional to 135,233 and 195,870

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Solution

The third proportional to 135,233 and 195,870 is: 283,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,233 : 195,870 = 195,870 : x
  2. Step 2: Convert to fraction form
    135,233/195,870 = 195,870/x
  3. Step 3: Cross multiply
    135,233x = 195,870 × 195,870
  4. Step 4: Simplify right side
    135,233x = 38,365,056,900
  5. Step 5: Solve for x
    x = 38,365,056,900/135,233
  6. Step 6: Final answer
    x = 283,695.97

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