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Finding the Third Proportional to 101,951 and 168,493

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Solution

The third proportional to 101,951 and 168,493 is: 278,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951 : 168,493 = 168,493 : x
  2. Step 2: Convert to fraction form
    101,951/168,493 = 168,493/x
  3. Step 3: Cross multiply
    101,951x = 168,493 × 168,493
  4. Step 4: Simplify right side
    101,951x = 28,389,891,049
  5. Step 5: Solve for x
    x = 28,389,891,049/101,951
  6. Step 6: Final answer
    x = 278,466.04

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.