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Finding the Third Proportional to 79,059 and 186,622

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Solution

The third proportional to 79,059 and 186,622 is: 440,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,059 : 186,622 = 186,622 : x
  2. Step 2: Convert to fraction form
    79,059/186,622 = 186,622/x
  3. Step 3: Cross multiply
    79,059x = 186,622 × 186,622
  4. Step 4: Simplify right side
    79,059x = 34,827,770,884
  5. Step 5: Solve for x
    x = 34,827,770,884/79,059
  6. Step 6: Final answer
    x = 440,528.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.