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Finding the Third Proportional to 94,986 and 150,405

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Solution

The third proportional to 94,986 and 150,405 is: 238,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,986 : 150,405 = 150,405 : x
  2. Step 2: Convert to fraction form
    94,986/150,405 = 150,405/x
  3. Step 3: Cross multiply
    94,986x = 150,405 × 150,405
  4. Step 4: Simplify right side
    94,986x = 22,621,664,025
  5. Step 5: Solve for x
    x = 22,621,664,025/94,986
  6. Step 6: Final answer
    x = 238,157.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.