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Finding the Third Proportional to 64,279 and 138,425

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Solution

The third proportional to 64,279 and 138,425 is: 298,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,279 : 138,425 = 138,425 : x
  2. Step 2: Convert to fraction form
    64,279/138,425 = 138,425/x
  3. Step 3: Cross multiply
    64,279x = 138,425 × 138,425
  4. Step 4: Simplify right side
    64,279x = 19,161,480,625
  5. Step 5: Solve for x
    x = 19,161,480,625/64,279
  6. Step 6: Final answer
    x = 298,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.