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Finding the Third Proportional to 73,682.50 and 159,137

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Solution

The third proportional to 73,682.50 and 159,137 is: 343,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682.50 : 159,137 = 159,137 : x
  2. Step 2: Convert to fraction form
    73,682.50/159,137 = 159,137/x
  3. Step 3: Cross multiply
    73,682.50x = 159,137 × 159,137
  4. Step 4: Simplify right side
    73,682.50x = 25,324,584,769
  5. Step 5: Solve for x
    x = 25,324,584,769/73,682.50
  6. Step 6: Final answer
    x = 343,698.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.