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Finding the Third Proportional to 73,082 and 110,105

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Solution

The third proportional to 73,082 and 110,105 is: 165,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082 : 110,105 = 110,105 : x
  2. Step 2: Convert to fraction form
    73,082/110,105 = 110,105/x
  3. Step 3: Cross multiply
    73,082x = 110,105 × 110,105
  4. Step 4: Simplify right side
    73,082x = 12,123,111,025
  5. Step 5: Solve for x
    x = 12,123,111,025/73,082
  6. Step 6: Final answer
    x = 165,883.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.