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Finding the Third Proportional to 43,966 and 65,129

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Solution

The third proportional to 43,966 and 65,129 is: 96,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,966 : 65,129 = 65,129 : x
  2. Step 2: Convert to fraction form
    43,966/65,129 = 65,129/x
  3. Step 3: Cross multiply
    43,966x = 65,129 × 65,129
  4. Step 4: Simplify right side
    43,966x = 4,241,786,641
  5. Step 5: Solve for x
    x = 4,241,786,641/43,966
  6. Step 6: Final answer
    x = 96,478.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.