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Finding the Third Proportional to 31,774 and 69,082

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Solution

The third proportional to 31,774 and 69,082 is: 150,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774 : 69,082 = 69,082 : x
  2. Step 2: Convert to fraction form
    31,774/69,082 = 69,082/x
  3. Step 3: Cross multiply
    31,774x = 69,082 × 69,082
  4. Step 4: Simplify right side
    31,774x = 4,772,322,724
  5. Step 5: Solve for x
    x = 4,772,322,724/31,774
  6. Step 6: Final answer
    x = 150,195.84

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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.