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Finding the Third Proportional to 64,917 and 141,849

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Solution

The third proportional to 64,917 and 141,849 is: 309,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,917 : 141,849 = 141,849 : x
  2. Step 2: Convert to fraction form
    64,917/141,849 = 141,849/x
  3. Step 3: Cross multiply
    64,917x = 141,849 × 141,849
  4. Step 4: Simplify right side
    64,917x = 20,121,138,801
  5. Step 5: Solve for x
    x = 20,121,138,801/64,917
  6. Step 6: Final answer
    x = 309,951.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.