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Finding the Third Proportional to 79,384 and 108,108

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Solution

The third proportional to 79,384 and 108,108 is: 147,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,384 : 108,108 = 108,108 : x
  2. Step 2: Convert to fraction form
    79,384/108,108 = 108,108/x
  3. Step 3: Cross multiply
    79,384x = 108,108 × 108,108
  4. Step 4: Simplify right side
    79,384x = 11,687,339,664
  5. Step 5: Solve for x
    x = 11,687,339,664/79,384
  6. Step 6: Final answer
    x = 147,225.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.