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Finding the Third Proportional to 67,758 and 100,654

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Solution

The third proportional to 67,758 and 100,654 is: 149,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758 : 100,654 = 100,654 : x
  2. Step 2: Convert to fraction form
    67,758/100,654 = 100,654/x
  3. Step 3: Cross multiply
    67,758x = 100,654 × 100,654
  4. Step 4: Simplify right side
    67,758x = 10,131,227,716
  5. Step 5: Solve for x
    x = 10,131,227,716/67,758
  6. Step 6: Final answer
    x = 149,520.76

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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.