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Finding the Third Proportional to 79,672 and 120,125

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Solution

The third proportional to 79,672 and 120,125 is: 181,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,672 : 120,125 = 120,125 : x
  2. Step 2: Convert to fraction form
    79,672/120,125 = 120,125/x
  3. Step 3: Cross multiply
    79,672x = 120,125 × 120,125
  4. Step 4: Simplify right side
    79,672x = 14,430,015,625
  5. Step 5: Solve for x
    x = 14,430,015,625/79,672
  6. Step 6: Final answer
    x = 181,117.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.