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Finding the Third Proportional to 66,540.50 and 105,821

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Solution

The third proportional to 66,540.50 and 105,821 is: 168,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,540.50 : 105,821 = 105,821 : x
  2. Step 2: Convert to fraction form
    66,540.50/105,821 = 105,821/x
  3. Step 3: Cross multiply
    66,540.50x = 105,821 × 105,821
  4. Step 4: Simplify right side
    66,540.50x = 11,198,084,041
  5. Step 5: Solve for x
    x = 11,198,084,041/66,540.50
  6. Step 6: Final answer
    x = 168,289.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.