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Finding the Third Proportional to 37,137 and 76,734

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Solution

The third proportional to 37,137 and 76,734 is: 158,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137 : 76,734 = 76,734 : x
  2. Step 2: Convert to fraction form
    37,137/76,734 = 76,734/x
  3. Step 3: Cross multiply
    37,137x = 76,734 × 76,734
  4. Step 4: Simplify right side
    37,137x = 5,888,106,756
  5. Step 5: Solve for x
    x = 5,888,106,756/37,137
  6. Step 6: Final answer
    x = 158,550.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.