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Finding the Third Proportional to 123,183 and 161,750

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Solution

The third proportional to 123,183 and 161,750 is: 212,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,183 : 161,750 = 161,750 : x
  2. Step 2: Convert to fraction form
    123,183/161,750 = 161,750/x
  3. Step 3: Cross multiply
    123,183x = 161,750 × 161,750
  4. Step 4: Simplify right side
    123,183x = 26,163,062,500
  5. Step 5: Solve for x
    x = 26,163,062,500/123,183
  6. Step 6: Final answer
    x = 212,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.