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Finding the Third Proportional to 41,053.50 and 87,939

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Solution

The third proportional to 41,053.50 and 87,939 is: 188,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,053.50 : 87,939 = 87,939 : x
  2. Step 2: Convert to fraction form
    41,053.50/87,939 = 87,939/x
  3. Step 3: Cross multiply
    41,053.50x = 87,939 × 87,939
  4. Step 4: Simplify right side
    41,053.50x = 7,733,267,721
  5. Step 5: Solve for x
    x = 7,733,267,721/41,053.50
  6. Step 6: Final answer
    x = 188,370.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.