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Finding the Third Proportional to 75,494 and 165,916

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Solution

The third proportional to 75,494 and 165,916 is: 364,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,494 : 165,916 = 165,916 : x
  2. Step 2: Convert to fraction form
    75,494/165,916 = 165,916/x
  3. Step 3: Cross multiply
    75,494x = 165,916 × 165,916
  4. Step 4: Simplify right side
    75,494x = 27,528,119,056
  5. Step 5: Solve for x
    x = 27,528,119,056/75,494
  6. Step 6: Final answer
    x = 364,639.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.