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Finding the Third Proportional to 64,188 and 134,208

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Solution

The third proportional to 64,188 and 134,208 is: 280,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,188 : 134,208 = 134,208 : x
  2. Step 2: Convert to fraction form
    64,188/134,208 = 134,208/x
  3. Step 3: Cross multiply
    64,188x = 134,208 × 134,208
  4. Step 4: Simplify right side
    64,188x = 18,011,787,264
  5. Step 5: Solve for x
    x = 18,011,787,264/64,188
  6. Step 6: Final answer
    x = 280,609.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.