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Finding the Third Proportional to 64,107 and 140,279

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Solution

The third proportional to 64,107 and 140,279 is: 306,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107 : 140,279 = 140,279 : x
  2. Step 2: Convert to fraction form
    64,107/140,279 = 140,279/x
  3. Step 3: Cross multiply
    64,107x = 140,279 × 140,279
  4. Step 4: Simplify right side
    64,107x = 19,678,197,841
  5. Step 5: Solve for x
    x = 19,678,197,841/64,107
  6. Step 6: Final answer
    x = 306,958.64

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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.