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Finding the Third Proportional to 133,558.50 and 190,976.25

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Solution

The third proportional to 133,558.50 and 190,976.25 is: 273,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,558.50 : 190,976.25 = 190,976.25 : x
  2. Step 2: Convert to fraction form
    133,558.50/190,976.25 = 190,976.25/x
  3. Step 3: Cross multiply
    133,558.50x = 190,976.25 × 190,976.25
  4. Step 4: Simplify right side
    133,558.50x = 36,471,928,064.06
  5. Step 5: Solve for x
    x = 36,471,928,064.06/133,558.50
  6. Step 6: Final answer
    x = 273,078.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.