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Finding the Third Proportional to 43,546 and 65,149

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Solution

The third proportional to 43,546 and 65,149 is: 97,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546 : 65,149 = 65,149 : x
  2. Step 2: Convert to fraction form
    43,546/65,149 = 65,149/x
  3. Step 3: Cross multiply
    43,546x = 65,149 × 65,149
  4. Step 4: Simplify right side
    43,546x = 4,244,392,201
  5. Step 5: Solve for x
    x = 4,244,392,201/43,546
  6. Step 6: Final answer
    x = 97,469.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.