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Finding the Third Proportional to 64,879 and 140,834

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Solution

The third proportional to 64,879 and 140,834 is: 305,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,879 : 140,834 = 140,834 : x
  2. Step 2: Convert to fraction form
    64,879/140,834 = 140,834/x
  3. Step 3: Cross multiply
    64,879x = 140,834 × 140,834
  4. Step 4: Simplify right side
    64,879x = 19,834,215,556
  5. Step 5: Solve for x
    x = 19,834,215,556/64,879
  6. Step 6: Final answer
    x = 305,710.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.