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Finding the Third Proportional to 91,576 and 190,167

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Solution

The third proportional to 91,576 and 190,167 is: 394,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,576 : 190,167 = 190,167 : x
  2. Step 2: Convert to fraction form
    91,576/190,167 = 190,167/x
  3. Step 3: Cross multiply
    91,576x = 190,167 × 190,167
  4. Step 4: Simplify right side
    91,576x = 36,163,487,889
  5. Step 5: Solve for x
    x = 36,163,487,889/91,576
  6. Step 6: Final answer
    x = 394,901.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.