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Finding the Third Proportional to 83,382 and 125,790

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Solution

The third proportional to 83,382 and 125,790 is: 189,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382 : 125,790 = 125,790 : x
  2. Step 2: Convert to fraction form
    83,382/125,790 = 125,790/x
  3. Step 3: Cross multiply
    83,382x = 125,790 × 125,790
  4. Step 4: Simplify right side
    83,382x = 15,823,124,100
  5. Step 5: Solve for x
    x = 15,823,124,100/83,382
  6. Step 6: Final answer
    x = 189,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.