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Finding the Third Proportional to 43,009 and 65,162

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Solution

The third proportional to 43,009 and 65,162 is: 98,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,009 : 65,162 = 65,162 : x
  2. Step 2: Convert to fraction form
    43,009/65,162 = 65,162/x
  3. Step 3: Cross multiply
    43,009x = 65,162 × 65,162
  4. Step 4: Simplify right side
    43,009x = 4,246,086,244
  5. Step 5: Solve for x
    x = 4,246,086,244/43,009
  6. Step 6: Final answer
    x = 98,725.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.