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Finding the Third Proportional to 94,442 and 132,042

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Solution

The third proportional to 94,442 and 132,042 is: 184,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,442 : 132,042 = 132,042 : x
  2. Step 2: Convert to fraction form
    94,442/132,042 = 132,042/x
  3. Step 3: Cross multiply
    94,442x = 132,042 × 132,042
  4. Step 4: Simplify right side
    94,442x = 17,435,089,764
  5. Step 5: Solve for x
    x = 17,435,089,764/94,442
  6. Step 6: Final answer
    x = 184,611.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.