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Finding the Third Proportional to 73,084.50 and 111,570.75

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Solution

The third proportional to 73,084.50 and 111,570.75 is: 170,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.50 : 111,570.75 = 111,570.75 : x
  2. Step 2: Convert to fraction form
    73,084.50/111,570.75 = 111,570.75/x
  3. Step 3: Cross multiply
    73,084.50x = 111,570.75 × 111,570.75
  4. Step 4: Simplify right side
    73,084.50x = 12,448,032,255.56
  5. Step 5: Solve for x
    x = 12,448,032,255.56/73,084.50
  6. Step 6: Final answer
    x = 170,323.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.