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Finding the Third Proportional to 54,324 and 113,608

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Solution

The third proportional to 54,324 and 113,608 is: 237,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 113,608 = 113,608 : x
  2. Step 2: Convert to fraction form
    54,324/113,608 = 113,608/x
  3. Step 3: Cross multiply
    54,324x = 113,608 × 113,608
  4. Step 4: Simplify right side
    54,324x = 12,906,777,664
  5. Step 5: Solve for x
    x = 12,906,777,664/54,324
  6. Step 6: Final answer
    x = 237,588.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.