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Finding the Third Proportional to 75,082 and 164,930

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Solution

The third proportional to 75,082 and 164,930 is: 362,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082 : 164,930 = 164,930 : x
  2. Step 2: Convert to fraction form
    75,082/164,930 = 164,930/x
  3. Step 3: Cross multiply
    75,082x = 164,930 × 164,930
  4. Step 4: Simplify right side
    75,082x = 27,201,904,900
  5. Step 5: Solve for x
    x = 27,201,904,900/75,082
  6. Step 6: Final answer
    x = 362,295.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.