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Finding the Third Proportional to 81,941 and 173,482

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Solution

The third proportional to 81,941 and 173,482 is: 367,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,941 : 173,482 = 173,482 : x
  2. Step 2: Convert to fraction form
    81,941/173,482 = 173,482/x
  3. Step 3: Cross multiply
    81,941x = 173,482 × 173,482
  4. Step 4: Simplify right side
    81,941x = 30,096,004,324
  5. Step 5: Solve for x
    x = 30,096,004,324/81,941
  6. Step 6: Final answer
    x = 367,288.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.