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Finding the Third Proportional to 64,934 and 135,064

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Solution

The third proportional to 64,934 and 135,064 is: 280,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934 : 135,064 = 135,064 : x
  2. Step 2: Convert to fraction form
    64,934/135,064 = 135,064/x
  3. Step 3: Cross multiply
    64,934x = 135,064 × 135,064
  4. Step 4: Simplify right side
    64,934x = 18,242,284,096
  5. Step 5: Solve for x
    x = 18,242,284,096/64,934
  6. Step 6: Final answer
    x = 280,935.78

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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.