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Finding the Third Proportional to 75,218 and 160,183

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Solution

The third proportional to 75,218 and 160,183 is: 341,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218 : 160,183 = 160,183 : x
  2. Step 2: Convert to fraction form
    75,218/160,183 = 160,183/x
  3. Step 3: Cross multiply
    75,218x = 160,183 × 160,183
  4. Step 4: Simplify right side
    75,218x = 25,658,593,489
  5. Step 5: Solve for x
    x = 25,658,593,489/75,218
  6. Step 6: Final answer
    x = 341,123.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.