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Finding the Third Proportional to 54,132.75 and 118,092.38

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Solution

The third proportional to 54,132.75 and 118,092.38 is: 257,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,132.75 : 118,092.38 = 118,092.38 : x
  2. Step 2: Convert to fraction form
    54,132.75/118,092.38 = 118,092.38/x
  3. Step 3: Cross multiply
    54,132.75x = 118,092.38 × 118,092.38
  4. Step 4: Simplify right side
    54,132.75x = 13,945,809,033.14
  5. Step 5: Solve for x
    x = 13,945,809,033.14/54,132.75
  6. Step 6: Final answer
    x = 257,622.40

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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.