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Finding the Third Proportional to 43,804 and 95,006

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Solution

The third proportional to 43,804 and 95,006 is: 206,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,804 : 95,006 = 95,006 : x
  2. Step 2: Convert to fraction form
    43,804/95,006 = 95,006/x
  3. Step 3: Cross multiply
    43,804x = 95,006 × 95,006
  4. Step 4: Simplify right side
    43,804x = 9,026,140,036
  5. Step 5: Solve for x
    x = 9,026,140,036/43,804
  6. Step 6: Final answer
    x = 206,057.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.