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Finding the Third Proportional to 90,670 and 140,741

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Solution

The third proportional to 90,670 and 140,741 is: 218,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,670 : 140,741 = 140,741 : x
  2. Step 2: Convert to fraction form
    90,670/140,741 = 140,741/x
  3. Step 3: Cross multiply
    90,670x = 140,741 × 140,741
  4. Step 4: Simplify right side
    90,670x = 19,808,029,081
  5. Step 5: Solve for x
    x = 19,808,029,081/90,670
  6. Step 6: Final answer
    x = 218,462.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.