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Finding the Third Proportional to 54,439.88 and 117,222.19

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Solution

The third proportional to 54,439.88 and 117,222.19 is: 252,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,439.88 : 117,222.19 = 117,222.19 : x
  2. Step 2: Convert to fraction form
    54,439.88/117,222.19 = 117,222.19/x
  3. Step 3: Cross multiply
    54,439.88x = 117,222.19 × 117,222.19
  4. Step 4: Simplify right side
    54,439.88x = 13,741,041,242.29
  5. Step 5: Solve for x
    x = 13,741,041,242.29/54,439.88
  6. Step 6: Final answer
    x = 252,407.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.