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Finding the Third Proportional to 112,147.50 and 239,847

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Solution

The third proportional to 112,147.50 and 239,847 is: 512,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,147.50 : 239,847 = 239,847 : x
  2. Step 2: Convert to fraction form
    112,147.50/239,847 = 239,847/x
  3. Step 3: Cross multiply
    112,147.50x = 239,847 × 239,847
  4. Step 4: Simplify right side
    112,147.50x = 57,526,583,409
  5. Step 5: Solve for x
    x = 57,526,583,409/112,147.50
  6. Step 6: Final answer
    x = 512,954.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.