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Finding the Third Proportional to 69,110 and 145,183

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Solution

The third proportional to 69,110 and 145,183 is: 304,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,110 : 145,183 = 145,183 : x
  2. Step 2: Convert to fraction form
    69,110/145,183 = 145,183/x
  3. Step 3: Cross multiply
    69,110x = 145,183 × 145,183
  4. Step 4: Simplify right side
    69,110x = 21,078,103,489
  5. Step 5: Solve for x
    x = 21,078,103,489/69,110
  6. Step 6: Final answer
    x = 304,993.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.