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Finding the Third Proportional to 42,667 and 91,774

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Solution

The third proportional to 42,667 and 91,774 is: 197,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,667 : 91,774 = 91,774 : x
  2. Step 2: Convert to fraction form
    42,667/91,774 = 91,774/x
  3. Step 3: Cross multiply
    42,667x = 91,774 × 91,774
  4. Step 4: Simplify right side
    42,667x = 8,422,467,076
  5. Step 5: Solve for x
    x = 8,422,467,076/42,667
  6. Step 6: Final answer
    x = 197,400.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.