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Finding the Third Proportional to 104,006 and 165,513

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Solution

The third proportional to 104,006 and 165,513 is: 263,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,006 : 165,513 = 165,513 : x
  2. Step 2: Convert to fraction form
    104,006/165,513 = 165,513/x
  3. Step 3: Cross multiply
    104,006x = 165,513 × 165,513
  4. Step 4: Simplify right side
    104,006x = 27,394,553,169
  5. Step 5: Solve for x
    x = 27,394,553,169/104,006
  6. Step 6: Final answer
    x = 263,393.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.