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Finding the Third Proportional to 35,952 and 79,059

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Solution

The third proportional to 35,952 and 79,059 is: 173,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952 : 79,059 = 79,059 : x
  2. Step 2: Convert to fraction form
    35,952/79,059 = 79,059/x
  3. Step 3: Cross multiply
    35,952x = 79,059 × 79,059
  4. Step 4: Simplify right side
    35,952x = 6,250,325,481
  5. Step 5: Solve for x
    x = 6,250,325,481/35,952
  6. Step 6: Final answer
    x = 173,851.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.