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Finding the Third Proportional to 43,623 and 69,189

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Solution

The third proportional to 43,623 and 69,189 is: 109,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,623 : 69,189 = 69,189 : x
  2. Step 2: Convert to fraction form
    43,623/69,189 = 69,189/x
  3. Step 3: Cross multiply
    43,623x = 69,189 × 69,189
  4. Step 4: Simplify right side
    43,623x = 4,787,117,721
  5. Step 5: Solve for x
    x = 4,787,117,721/43,623
  6. Step 6: Final answer
    x = 109,738.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.