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Finding the Third Proportional to 79,296 and 115,966

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Solution

The third proportional to 79,296 and 115,966 is: 169,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 115,966 = 115,966 : x
  2. Step 2: Convert to fraction form
    79,296/115,966 = 115,966/x
  3. Step 3: Cross multiply
    79,296x = 115,966 × 115,966
  4. Step 4: Simplify right side
    79,296x = 13,448,113,156
  5. Step 5: Solve for x
    x = 13,448,113,156/79,296
  6. Step 6: Final answer
    x = 169,593.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.