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Finding the Third Proportional to 89,667 and 190,269

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Solution

The third proportional to 89,667 and 190,269 is: 403,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,667 : 190,269 = 190,269 : x
  2. Step 2: Convert to fraction form
    89,667/190,269 = 190,269/x
  3. Step 3: Cross multiply
    89,667x = 190,269 × 190,269
  4. Step 4: Simplify right side
    89,667x = 36,202,292,361
  5. Step 5: Solve for x
    x = 36,202,292,361/89,667
  6. Step 6: Final answer
    x = 403,741.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.