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Finding the Third Proportional to 109,667 and 238,126

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Solution

The third proportional to 109,667 and 238,126 is: 517,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,667 : 238,126 = 238,126 : x
  2. Step 2: Convert to fraction form
    109,667/238,126 = 238,126/x
  3. Step 3: Cross multiply
    109,667x = 238,126 × 238,126
  4. Step 4: Simplify right side
    109,667x = 56,703,991,876
  5. Step 5: Solve for x
    x = 56,703,991,876/109,667
  6. Step 6: Final answer
    x = 517,056.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.