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Finding the Third Proportional to 81,105 and 173,419

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Solution

The third proportional to 81,105 and 173,419 is: 370,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105 : 173,419 = 173,419 : x
  2. Step 2: Convert to fraction form
    81,105/173,419 = 173,419/x
  3. Step 3: Cross multiply
    81,105x = 173,419 × 173,419
  4. Step 4: Simplify right side
    81,105x = 30,074,149,561
  5. Step 5: Solve for x
    x = 30,074,149,561/81,105
  6. Step 6: Final answer
    x = 370,805.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.