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Finding the Third Proportional to 54,922.50 and 82,383.50

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Solution

The third proportional to 54,922.50 and 82,383.50 is: 123,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922.50 : 82,383.50 = 82,383.50 : x
  2. Step 2: Convert to fraction form
    54,922.50/82,383.50 = 82,383.50/x
  3. Step 3: Cross multiply
    54,922.50x = 82,383.50 × 82,383.50
  4. Step 4: Simplify right side
    54,922.50x = 6,787,041,072.25
  5. Step 5: Solve for x
    x = 6,787,041,072.25/54,922.50
  6. Step 6: Final answer
    x = 123,574.88

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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.