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Finding the Third Proportional to 54,990 and 110,832.75

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Solution

The third proportional to 54,990 and 110,832.75 is: 223,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,990 : 110,832.75 = 110,832.75 : x
  2. Step 2: Convert to fraction form
    54,990/110,832.75 = 110,832.75/x
  3. Step 3: Cross multiply
    54,990x = 110,832.75 × 110,832.75
  4. Step 4: Simplify right side
    54,990x = 12,283,898,472.56
  5. Step 5: Solve for x
    x = 12,283,898,472.56/54,990
  6. Step 6: Final answer
    x = 223,384.22

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.