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Finding the Third Proportional to 61,037 and 146,993

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Solution

The third proportional to 61,037 and 146,993 is: 353,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,037 : 146,993 = 146,993 : x
  2. Step 2: Convert to fraction form
    61,037/146,993 = 146,993/x
  3. Step 3: Cross multiply
    61,037x = 146,993 × 146,993
  4. Step 4: Simplify right side
    61,037x = 21,606,942,049
  5. Step 5: Solve for x
    x = 21,606,942,049/61,037
  6. Step 6: Final answer
    x = 353,997.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.