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Finding the Third Proportional to 77,264 and 166,082

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Solution

The third proportional to 77,264 and 166,082 is: 356,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264 : 166,082 = 166,082 : x
  2. Step 2: Convert to fraction form
    77,264/166,082 = 166,082/x
  3. Step 3: Cross multiply
    77,264x = 166,082 × 166,082
  4. Step 4: Simplify right side
    77,264x = 27,583,230,724
  5. Step 5: Solve for x
    x = 27,583,230,724/77,264
  6. Step 6: Final answer
    x = 356,999.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.