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Finding the Third Proportional to 89,667 and 134,328.38

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Solution

The third proportional to 89,667 and 134,328.38 is: 201,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,667 : 134,328.38 = 134,328.38 : x
  2. Step 2: Convert to fraction form
    89,667/134,328.38 = 134,328.38/x
  3. Step 3: Cross multiply
    89,667x = 134,328.38 × 134,328.38
  4. Step 4: Simplify right side
    89,667x = 18,044,112,330.14
  5. Step 5: Solve for x
    x = 18,044,112,330.14/89,667
  6. Step 6: Final answer
    x = 201,234.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.