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Finding the Third Proportional to 54,608.50 and 82,093

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Solution

The third proportional to 54,608.50 and 82,093 is: 123,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,608.50 : 82,093 = 82,093 : x
  2. Step 2: Convert to fraction form
    54,608.50/82,093 = 82,093/x
  3. Step 3: Cross multiply
    54,608.50x = 82,093 × 82,093
  4. Step 4: Simplify right side
    54,608.50x = 6,739,260,649
  5. Step 5: Solve for x
    x = 6,739,260,649/54,608.50
  6. Step 6: Final answer
    x = 123,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.