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Finding the Third Proportional to 43,104 and 66,909

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Solution

The third proportional to 43,104 and 66,909 is: 103,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,104 : 66,909 = 66,909 : x
  2. Step 2: Convert to fraction form
    43,104/66,909 = 66,909/x
  3. Step 3: Cross multiply
    43,104x = 66,909 × 66,909
  4. Step 4: Simplify right side
    43,104x = 4,476,814,281
  5. Step 5: Solve for x
    x = 4,476,814,281/43,104
  6. Step 6: Final answer
    x = 103,860.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.