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Finding the Third Proportional to 83,434 and 125,314

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Solution

The third proportional to 83,434 and 125,314 is: 188,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434 : 125,314 = 125,314 : x
  2. Step 2: Convert to fraction form
    83,434/125,314 = 125,314/x
  3. Step 3: Cross multiply
    83,434x = 125,314 × 125,314
  4. Step 4: Simplify right side
    83,434x = 15,703,598,596
  5. Step 5: Solve for x
    x = 15,703,598,596/83,434
  6. Step 6: Final answer
    x = 188,215.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.