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Finding the Third Proportional to 67,622 and 105,119

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Solution

The third proportional to 67,622 and 105,119 is: 163,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,622 : 105,119 = 105,119 : x
  2. Step 2: Convert to fraction form
    67,622/105,119 = 105,119/x
  3. Step 3: Cross multiply
    67,622x = 105,119 × 105,119
  4. Step 4: Simplify right side
    67,622x = 11,050,004,161
  5. Step 5: Solve for x
    x = 11,050,004,161/67,622
  6. Step 6: Final answer
    x = 163,408.42

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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.