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Finding the Third Proportional to 73,227 and 111,244.50

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Solution

The third proportional to 73,227 and 111,244.50 is: 168,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,227 : 111,244.50 = 111,244.50 : x
  2. Step 2: Convert to fraction form
    73,227/111,244.50 = 111,244.50/x
  3. Step 3: Cross multiply
    73,227x = 111,244.50 × 111,244.50
  4. Step 4: Simplify right side
    73,227x = 12,375,338,780.25
  5. Step 5: Solve for x
    x = 12,375,338,780.25/73,227
  6. Step 6: Final answer
    x = 168,999.67

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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.