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Finding the Third Proportional to 62,742 and 137,922

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Solution

The third proportional to 62,742 and 137,922 is: 303,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,742 : 137,922 = 137,922 : x
  2. Step 2: Convert to fraction form
    62,742/137,922 = 137,922/x
  3. Step 3: Cross multiply
    62,742x = 137,922 × 137,922
  4. Step 4: Simplify right side
    62,742x = 19,022,478,084
  5. Step 5: Solve for x
    x = 19,022,478,084/62,742
  6. Step 6: Final answer
    x = 303,185.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.