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Finding the Third Proportional to 54,424.50 and 84,093

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Solution

The third proportional to 54,424.50 and 84,093 is: 129,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424.50 : 84,093 = 84,093 : x
  2. Step 2: Convert to fraction form
    54,424.50/84,093 = 84,093/x
  3. Step 3: Cross multiply
    54,424.50x = 84,093 × 84,093
  4. Step 4: Simplify right side
    54,424.50x = 7,071,632,649
  5. Step 5: Solve for x
    x = 7,071,632,649/54,424.50
  6. Step 6: Final answer
    x = 129,934.73

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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.