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Finding the Third Proportional to 54,144 and 81,452.25

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Solution

The third proportional to 54,144 and 81,452.25 is: 122,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 81,452.25 = 81,452.25 : x
  2. Step 2: Convert to fraction form
    54,144/81,452.25 = 81,452.25/x
  3. Step 3: Cross multiply
    54,144x = 81,452.25 × 81,452.25
  4. Step 4: Simplify right side
    54,144x = 6,634,469,030.06
  5. Step 5: Solve for x
    x = 6,634,469,030.06/54,144
  6. Step 6: Final answer
    x = 122,533.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.