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Finding the Third Proportional to 101,966.75 and 206,781

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Solution

The third proportional to 101,966.75 and 206,781 is: 419,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.75 : 206,781 = 206,781 : x
  2. Step 2: Convert to fraction form
    101,966.75/206,781 = 206,781/x
  3. Step 3: Cross multiply
    101,966.75x = 206,781 × 206,781
  4. Step 4: Simplify right side
    101,966.75x = 42,758,381,961
  5. Step 5: Solve for x
    x = 42,758,381,961/101,966.75
  6. Step 6: Final answer
    x = 419,336.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.