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Finding the Third Proportional to 64,934 and 134,860

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Solution

The third proportional to 64,934 and 134,860 is: 280,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934 : 134,860 = 134,860 : x
  2. Step 2: Convert to fraction form
    64,934/134,860 = 134,860/x
  3. Step 3: Cross multiply
    64,934x = 134,860 × 134,860
  4. Step 4: Simplify right side
    64,934x = 18,187,219,600
  5. Step 5: Solve for x
    x = 18,187,219,600/64,934
  6. Step 6: Final answer
    x = 280,087.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.