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Finding the Third Proportional to 54,384 and 79,608

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Solution

The third proportional to 54,384 and 79,608 is: 116,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,384 : 79,608 = 79,608 : x
  2. Step 2: Convert to fraction form
    54,384/79,608 = 79,608/x
  3. Step 3: Cross multiply
    54,384x = 79,608 × 79,608
  4. Step 4: Simplify right side
    54,384x = 6,337,433,664
  5. Step 5: Solve for x
    x = 6,337,433,664/54,384
  6. Step 6: Final answer
    x = 116,531.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.