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Finding the Third Proportional to 64,936 and 134,864

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Solution

The third proportional to 64,936 and 134,864 is: 280,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936 : 134,864 = 134,864 : x
  2. Step 2: Convert to fraction form
    64,936/134,864 = 134,864/x
  3. Step 3: Cross multiply
    64,936x = 134,864 × 134,864
  4. Step 4: Simplify right side
    64,936x = 18,188,298,496
  5. Step 5: Solve for x
    x = 18,188,298,496/64,936
  6. Step 6: Final answer
    x = 280,095.76

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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.