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Finding the Third Proportional to 35,978 and 79,094

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Solution

The third proportional to 35,978 and 79,094 is: 173,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978 : 79,094 = 79,094 : x
  2. Step 2: Convert to fraction form
    35,978/79,094 = 79,094/x
  3. Step 3: Cross multiply
    35,978x = 79,094 × 79,094
  4. Step 4: Simplify right side
    35,978x = 6,255,860,836
  5. Step 5: Solve for x
    x = 6,255,860,836/35,978
  6. Step 6: Final answer
    x = 173,880.17

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Why These Related Problems?

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