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Finding the Third Proportional to 39,181 and 87,082

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Solution

The third proportional to 39,181 and 87,082 is: 193,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,181 : 87,082 = 87,082 : x
  2. Step 2: Convert to fraction form
    39,181/87,082 = 87,082/x
  3. Step 3: Cross multiply
    39,181x = 87,082 × 87,082
  4. Step 4: Simplify right side
    39,181x = 7,583,274,724
  5. Step 5: Solve for x
    x = 7,583,274,724/39,181
  6. Step 6: Final answer
    x = 193,544.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.