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Finding the Third Proportional to 73,977 and 158,682

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Solution

The third proportional to 73,977 and 158,682 is: 340,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977 : 158,682 = 158,682 : x
  2. Step 2: Convert to fraction form
    73,977/158,682 = 158,682/x
  3. Step 3: Cross multiply
    73,977x = 158,682 × 158,682
  4. Step 4: Simplify right side
    73,977x = 25,179,977,124
  5. Step 5: Solve for x
    x = 25,179,977,124/73,977
  6. Step 6: Final answer
    x = 340,375.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.