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Finding the Third Proportional to 94,474 and 132,095

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Solution

The third proportional to 94,474 and 132,095 is: 184,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,474 : 132,095 = 132,095 : x
  2. Step 2: Convert to fraction form
    94,474/132,095 = 132,095/x
  3. Step 3: Cross multiply
    94,474x = 132,095 × 132,095
  4. Step 4: Simplify right side
    94,474x = 17,449,089,025
  5. Step 5: Solve for x
    x = 17,449,089,025/94,474
  6. Step 6: Final answer
    x = 184,697.26

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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.