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Finding the Third Proportional to 135,159 and 194,691

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Solution

The third proportional to 135,159 and 194,691 is: 280,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,159 : 194,691 = 194,691 : x
  2. Step 2: Convert to fraction form
    135,159/194,691 = 194,691/x
  3. Step 3: Cross multiply
    135,159x = 194,691 × 194,691
  4. Step 4: Simplify right side
    135,159x = 37,904,585,481
  5. Step 5: Solve for x
    x = 37,904,585,481/135,159
  6. Step 6: Final answer
    x = 280,444.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.