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Finding the Third Proportional to 79,960 and 185,131

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Solution

The third proportional to 79,960 and 185,131 is: 428,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,960 : 185,131 = 185,131 : x
  2. Step 2: Convert to fraction form
    79,960/185,131 = 185,131/x
  3. Step 3: Cross multiply
    79,960x = 185,131 × 185,131
  4. Step 4: Simplify right side
    79,960x = 34,273,487,161
  5. Step 5: Solve for x
    x = 34,273,487,161/79,960
  6. Step 6: Final answer
    x = 428,632.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.