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Finding the Third Proportional to 74,067 and 120,335

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Solution

The third proportional to 74,067 and 120,335 is: 195,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067 : 120,335 = 120,335 : x
  2. Step 2: Convert to fraction form
    74,067/120,335 = 120,335/x
  3. Step 3: Cross multiply
    74,067x = 120,335 × 120,335
  4. Step 4: Simplify right side
    74,067x = 14,480,512,225
  5. Step 5: Solve for x
    x = 14,480,512,225/74,067
  6. Step 6: Final answer
    x = 195,505.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.