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Finding the Third Proportional to 81,568 and 125,414

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Solution

The third proportional to 81,568 and 125,414 is: 192,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,568 : 125,414 = 125,414 : x
  2. Step 2: Convert to fraction form
    81,568/125,414 = 125,414/x
  3. Step 3: Cross multiply
    81,568x = 125,414 × 125,414
  4. Step 4: Simplify right side
    81,568x = 15,728,671,396
  5. Step 5: Solve for x
    x = 15,728,671,396/81,568
  6. Step 6: Final answer
    x = 192,828.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.