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Finding the Third Proportional to 54,177 and 118,074

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Solution

The third proportional to 54,177 and 118,074 is: 257,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,177 : 118,074 = 118,074 : x
  2. Step 2: Convert to fraction form
    54,177/118,074 = 118,074/x
  3. Step 3: Cross multiply
    54,177x = 118,074 × 118,074
  4. Step 4: Simplify right side
    54,177x = 13,941,469,476
  5. Step 5: Solve for x
    x = 13,941,469,476/54,177
  6. Step 6: Final answer
    x = 257,331.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.