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Finding the Third Proportional to 42,667 and 93,098

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Solution

The third proportional to 42,667 and 93,098 is: 203,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,667 : 93,098 = 93,098 : x
  2. Step 2: Convert to fraction form
    42,667/93,098 = 93,098/x
  3. Step 3: Cross multiply
    42,667x = 93,098 × 93,098
  4. Step 4: Simplify right side
    42,667x = 8,667,237,604
  5. Step 5: Solve for x
    x = 8,667,237,604/42,667
  6. Step 6: Final answer
    x = 203,136.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.