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Finding the Third Proportional to 79,181 and 116,179

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Solution

The third proportional to 79,181 and 116,179 is: 170,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,181 : 116,179 = 116,179 : x
  2. Step 2: Convert to fraction form
    79,181/116,179 = 116,179/x
  3. Step 3: Cross multiply
    79,181x = 116,179 × 116,179
  4. Step 4: Simplify right side
    79,181x = 13,497,560,041
  5. Step 5: Solve for x
    x = 13,497,560,041/79,181
  6. Step 6: Final answer
    x = 170,464.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.