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Finding the Third Proportional to 54,144 and 126,000

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Solution

The third proportional to 54,144 and 126,000 is: 293,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 126,000 = 126,000 : x
  2. Step 2: Convert to fraction form
    54,144/126,000 = 126,000/x
  3. Step 3: Cross multiply
    54,144x = 126,000 × 126,000
  4. Step 4: Simplify right side
    54,144x = 15,876,000,000
  5. Step 5: Solve for x
    x = 15,876,000,000/54,144
  6. Step 6: Final answer
    x = 293,218.09

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.