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Finding the Third Proportional to 94,951.50 and 146,976

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Solution

The third proportional to 94,951.50 and 146,976 is: 227,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,951.50 : 146,976 = 146,976 : x
  2. Step 2: Convert to fraction form
    94,951.50/146,976 = 146,976/x
  3. Step 3: Cross multiply
    94,951.50x = 146,976 × 146,976
  4. Step 4: Simplify right side
    94,951.50x = 21,601,944,576
  5. Step 5: Solve for x
    x = 21,601,944,576/94,951.50
  6. Step 6: Final answer
    x = 227,505.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.