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

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Solution

The third proportional to 79,672 and 120,120 is: 181,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,672 : 120,120 = 120,120 : x
  2. Step 2: Convert to fraction form
    79,672/120,120 = 120,120/x
  3. Step 3: Cross multiply
    79,672x = 120,120 × 120,120
  4. Step 4: Simplify right side
    79,672x = 14,428,814,400
  5. Step 5: Solve for x
    x = 14,428,814,400/79,672
  6. Step 6: Final answer
    x = 181,102.70

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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.