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Finding the Third Proportional to 79,108 and 118,997

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Solution

The third proportional to 79,108 and 118,997 is: 178,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,108 : 118,997 = 118,997 : x
  2. Step 2: Convert to fraction form
    79,108/118,997 = 118,997/x
  3. Step 3: Cross multiply
    79,108x = 118,997 × 118,997
  4. Step 4: Simplify right side
    79,108x = 14,160,286,009
  5. Step 5: Solve for x
    x = 14,160,286,009/79,108
  6. Step 6: Final answer
    x = 178,999.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.