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Finding the Third Proportional to 54,084 and 118,824

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Solution

The third proportional to 54,084 and 118,824 is: 261,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,084 : 118,824 = 118,824 : x
  2. Step 2: Convert to fraction form
    54,084/118,824 = 118,824/x
  3. Step 3: Cross multiply
    54,084x = 118,824 × 118,824
  4. Step 4: Simplify right side
    54,084x = 14,119,142,976
  5. Step 5: Solve for x
    x = 14,119,142,976/54,084
  6. Step 6: Final answer
    x = 261,059.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.