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Finding the Third Proportional to 54,736 and 118,022

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Solution

The third proportional to 54,736 and 118,022 is: 254,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736 : 118,022 = 118,022 : x
  2. Step 2: Convert to fraction form
    54,736/118,022 = 118,022/x
  3. Step 3: Cross multiply
    54,736x = 118,022 × 118,022
  4. Step 4: Simplify right side
    54,736x = 13,929,192,484
  5. Step 5: Solve for x
    x = 13,929,192,484/54,736
  6. Step 6: Final answer
    x = 254,479.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.