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Finding the Third Proportional to 65,635 and 134,035

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Solution

The third proportional to 65,635 and 134,035 is: 273,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,635 : 134,035 = 134,035 : x
  2. Step 2: Convert to fraction form
    65,635/134,035 = 134,035/x
  3. Step 3: Cross multiply
    65,635x = 134,035 × 134,035
  4. Step 4: Simplify right side
    65,635x = 17,965,381,225
  5. Step 5: Solve for x
    x = 17,965,381,225/65,635
  6. Step 6: Final answer
    x = 273,716.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.