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Finding the Third Proportional to 104,006 and 170,841

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Solution

The third proportional to 104,006 and 170,841 is: 280,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,006 : 170,841 = 170,841 : x
  2. Step 2: Convert to fraction form
    104,006/170,841 = 170,841/x
  3. Step 3: Cross multiply
    104,006x = 170,841 × 170,841
  4. Step 4: Simplify right side
    104,006x = 29,186,647,281
  5. Step 5: Solve for x
    x = 29,186,647,281/104,006
  6. Step 6: Final answer
    x = 280,624.65

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.