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Finding the Third Proportional to 55,517.91 and 85,976.44

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Solution

The third proportional to 55,517.91 and 85,976.44 is: 133,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,517.91 : 85,976.44 = 85,976.44 : x
  2. Step 2: Convert to fraction form
    55,517.91/85,976.44 = 85,976.44/x
  3. Step 3: Cross multiply
    55,517.91x = 85,976.44 × 85,976.44
  4. Step 4: Simplify right side
    55,517.91x = 7,391,947,805.19
  5. Step 5: Solve for x
    x = 7,391,947,805.19/55,517.91
  6. Step 6: Final answer
    x = 133,145.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.