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Finding the Third Proportional to 62,736 and 134,568

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Solution

The third proportional to 62,736 and 134,568 is: 288,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,736 : 134,568 = 134,568 : x
  2. Step 2: Convert to fraction form
    62,736/134,568 = 134,568/x
  3. Step 3: Cross multiply
    62,736x = 134,568 × 134,568
  4. Step 4: Simplify right side
    62,736x = 18,108,546,624
  5. Step 5: Solve for x
    x = 18,108,546,624/62,736
  6. Step 6: Final answer
    x = 288,646.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.