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Finding the Third Proportional to 75,477 and 159,936

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Solution

The third proportional to 75,477 and 159,936 is: 338,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,477 : 159,936 = 159,936 : x
  2. Step 2: Convert to fraction form
    75,477/159,936 = 159,936/x
  3. Step 3: Cross multiply
    75,477x = 159,936 × 159,936
  4. Step 4: Simplify right side
    75,477x = 25,579,524,096
  5. Step 5: Solve for x
    x = 25,579,524,096/75,477
  6. Step 6: Final answer
    x = 338,904.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.