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Finding the Third Proportional to 67,766 and 100,670

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Solution

The third proportional to 67,766 and 100,670 is: 149,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,766 : 100,670 = 100,670 : x
  2. Step 2: Convert to fraction form
    67,766/100,670 = 100,670/x
  3. Step 3: Cross multiply
    67,766x = 100,670 × 100,670
  4. Step 4: Simplify right side
    67,766x = 10,134,448,900
  5. Step 5: Solve for x
    x = 10,134,448,900/67,766
  6. Step 6: Final answer
    x = 149,550.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.