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Finding the Third Proportional to 116,124 and 163,529

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Solution

The third proportional to 116,124 and 163,529 is: 230,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,124 : 163,529 = 163,529 : x
  2. Step 2: Convert to fraction form
    116,124/163,529 = 163,529/x
  3. Step 3: Cross multiply
    116,124x = 163,529 × 163,529
  4. Step 4: Simplify right side
    116,124x = 26,741,733,841
  5. Step 5: Solve for x
    x = 26,741,733,841/116,124
  6. Step 6: Final answer
    x = 230,286.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.