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Finding the Third Proportional to 54,132 and 118,092

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Solution

The third proportional to 54,132 and 118,092 is: 257,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,132 : 118,092 = 118,092 : x
  2. Step 2: Convert to fraction form
    54,132/118,092 = 118,092/x
  3. Step 3: Cross multiply
    54,132x = 118,092 × 118,092
  4. Step 4: Simplify right side
    54,132x = 13,945,720,464
  5. Step 5: Solve for x
    x = 13,945,720,464/54,132
  6. Step 6: Final answer
    x = 257,624.33

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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.