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Finding the Third Proportional to 41,567 and 89,042

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Solution

The third proportional to 41,567 and 89,042 is: 190,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,567 : 89,042 = 89,042 : x
  2. Step 2: Convert to fraction form
    41,567/89,042 = 89,042/x
  3. Step 3: Cross multiply
    41,567x = 89,042 × 89,042
  4. Step 4: Simplify right side
    41,567x = 7,928,477,764
  5. Step 5: Solve for x
    x = 7,928,477,764/41,567
  6. Step 6: Final answer
    x = 190,739.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.