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Finding the Third Proportional to 83,670 and 125,690

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Solution

The third proportional to 83,670 and 125,690 is: 188,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 125,690 = 125,690 : x
  2. Step 2: Convert to fraction form
    83,670/125,690 = 125,690/x
  3. Step 3: Cross multiply
    83,670x = 125,690 × 125,690
  4. Step 4: Simplify right side
    83,670x = 15,797,976,100
  5. Step 5: Solve for x
    x = 15,797,976,100/83,670
  6. Step 6: Final answer
    x = 188,812.91

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