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Finding the Third Proportional to 54,986 and 122,564

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Solution

The third proportional to 54,986 and 122,564 is: 273,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,986 : 122,564 = 122,564 : x
  2. Step 2: Convert to fraction form
    54,986/122,564 = 122,564/x
  3. Step 3: Cross multiply
    54,986x = 122,564 × 122,564
  4. Step 4: Simplify right side
    54,986x = 15,021,934,096
  5. Step 5: Solve for x
    x = 15,021,934,096/54,986
  6. Step 6: Final answer
    x = 273,195.62

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.