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Finding the Third Proportional to 137,183 and 182,073

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Solution

The third proportional to 137,183 and 182,073 is: 241,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,183 : 182,073 = 182,073 : x
  2. Step 2: Convert to fraction form
    137,183/182,073 = 182,073/x
  3. Step 3: Cross multiply
    137,183x = 182,073 × 182,073
  4. Step 4: Simplify right side
    137,183x = 33,150,577,329
  5. Step 5: Solve for x
    x = 33,150,577,329/137,183
  6. Step 6: Final answer
    x = 241,652.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.