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Finding the Third Proportional to 54,816.75 and 118,092.94

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Solution

The third proportional to 54,816.75 and 118,092.94 is: 254,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816.75 : 118,092.94 = 118,092.94 : x
  2. Step 2: Convert to fraction form
    54,816.75/118,092.94 = 118,092.94/x
  3. Step 3: Cross multiply
    54,816.75x = 118,092.94 × 118,092.94
  4. Step 4: Simplify right side
    54,816.75x = 13,945,941,887.38
  5. Step 5: Solve for x
    x = 13,945,941,887.38/54,816.75
  6. Step 6: Final answer
    x = 254,410.23

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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.