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Finding the Third Proportional to 94,082 and 141,147

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Solution

The third proportional to 94,082 and 141,147 is: 211,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,082 : 141,147 = 141,147 : x
  2. Step 2: Convert to fraction form
    94,082/141,147 = 141,147/x
  3. Step 3: Cross multiply
    94,082x = 141,147 × 141,147
  4. Step 4: Simplify right side
    94,082x = 19,922,475,609
  5. Step 5: Solve for x
    x = 19,922,475,609/94,082
  6. Step 6: Final answer
    x = 211,756.51

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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.