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Finding the Third Proportional to 27,168 and 56,082

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Solution

The third proportional to 27,168 and 56,082 is: 115,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 56,082 = 56,082 : x
  2. Step 2: Convert to fraction form
    27,168/56,082 = 56,082/x
  3. Step 3: Cross multiply
    27,168x = 56,082 × 56,082
  4. Step 4: Simplify right side
    27,168x = 3,145,190,724
  5. Step 5: Solve for x
    x = 3,145,190,724/27,168
  6. Step 6: Final answer
    x = 115,768.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.