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Finding the Third Proportional to 72,766.69 and 110,381.06

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Solution

The third proportional to 72,766.69 and 110,381.06 is: 167,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,766.69 : 110,381.06 = 110,381.06 : x
  2. Step 2: Convert to fraction form
    72,766.69/110,381.06 = 110,381.06/x
  3. Step 3: Cross multiply
    72,766.69x = 110,381.06 × 110,381.06
  4. Step 4: Simplify right side
    72,766.69x = 12,183,978,958.63
  5. Step 5: Solve for x
    x = 12,183,978,958.63/72,766.69
  6. Step 6: Final answer
    x = 167,438.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.