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Finding the Third Proportional to 76,362.75 and 111,081.38

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Solution

The third proportional to 76,362.75 and 111,081.38 is: 161,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.75 : 111,081.38 = 111,081.38 : x
  2. Step 2: Convert to fraction form
    76,362.75/111,081.38 = 111,081.38/x
  3. Step 3: Cross multiply
    76,362.75x = 111,081.38 × 111,081.38
  4. Step 4: Simplify right side
    76,362.75x = 12,339,071,871.89
  5. Step 5: Solve for x
    x = 12,339,071,871.89/76,362.75
  6. Step 6: Final answer
    x = 161,584.96

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.