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Finding the Third Proportional to 79,653 and 120,094

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Solution

The third proportional to 79,653 and 120,094 is: 181,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,653 : 120,094 = 120,094 : x
  2. Step 2: Convert to fraction form
    79,653/120,094 = 120,094/x
  3. Step 3: Cross multiply
    79,653x = 120,094 × 120,094
  4. Step 4: Simplify right side
    79,653x = 14,422,568,836
  5. Step 5: Solve for x
    x = 14,422,568,836/79,653
  6. Step 6: Final answer
    x = 181,067.49

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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.