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Finding the Third Proportional to 76,082 and 166,501

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Solution

The third proportional to 76,082 and 166,501 is: 364,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082 : 166,501 = 166,501 : x
  2. Step 2: Convert to fraction form
    76,082/166,501 = 166,501/x
  3. Step 3: Cross multiply
    76,082x = 166,501 × 166,501
  4. Step 4: Simplify right side
    76,082x = 27,722,583,001
  5. Step 5: Solve for x
    x = 27,722,583,001/76,082
  6. Step 6: Final answer
    x = 364,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.