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Finding the Third Proportional to 94,084 and 141,150

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Solution

The third proportional to 94,084 and 141,150 is: 211,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,084 : 141,150 = 141,150 : x
  2. Step 2: Convert to fraction form
    94,084/141,150 = 141,150/x
  3. Step 3: Cross multiply
    94,084x = 141,150 × 141,150
  4. Step 4: Simplify right side
    94,084x = 19,923,322,500
  5. Step 5: Solve for x
    x = 19,923,322,500/94,084
  6. Step 6: Final answer
    x = 211,761.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.