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Finding the Third Proportional to 46,204 and 67,326

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Solution

The third proportional to 46,204 and 67,326 is: 98,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,204 : 67,326 = 67,326 : x
  2. Step 2: Convert to fraction form
    46,204/67,326 = 67,326/x
  3. Step 3: Cross multiply
    46,204x = 67,326 × 67,326
  4. Step 4: Simplify right side
    46,204x = 4,532,790,276
  5. Step 5: Solve for x
    x = 4,532,790,276/46,204
  6. Step 6: Final answer
    x = 98,103.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.