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Finding the Third Proportional to 51,126.75 and 76,734

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Solution

The third proportional to 51,126.75 and 76,734 is: 115,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,126.75 : 76,734 = 76,734 : x
  2. Step 2: Convert to fraction form
    51,126.75/76,734 = 76,734/x
  3. Step 3: Cross multiply
    51,126.75x = 76,734 × 76,734
  4. Step 4: Simplify right side
    51,126.75x = 5,888,106,756
  5. Step 5: Solve for x
    x = 5,888,106,756/51,126.75
  6. Step 6: Final answer
    x = 115,166.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.