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Finding the Third Proportional to 55,231.88 and 85,206.94

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Solution

The third proportional to 55,231.88 and 85,206.94 is: 131,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,231.88 : 85,206.94 = 85,206.94 : x
  2. Step 2: Convert to fraction form
    55,231.88/85,206.94 = 85,206.94/x
  3. Step 3: Cross multiply
    55,231.88x = 85,206.94 × 85,206.94
  4. Step 4: Simplify right side
    55,231.88x = 7,260,222,198.13
  5. Step 5: Solve for x
    x = 7,260,222,198.13/55,231.88
  6. Step 6: Final answer
    x = 131,449.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.