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Finding the Third Proportional to 38,173 and 81,419

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Solution

The third proportional to 38,173 and 81,419 is: 173,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 81,419 = 81,419 : x
  2. Step 2: Convert to fraction form
    38,173/81,419 = 81,419/x
  3. Step 3: Cross multiply
    38,173x = 81,419 × 81,419
  4. Step 4: Simplify right side
    38,173x = 6,629,053,561
  5. Step 5: Solve for x
    x = 6,629,053,561/38,173
  6. Step 6: Final answer
    x = 173,658.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.