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Finding the Third Proportional to 44,556.75 and 105,158.25

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Solution

The third proportional to 44,556.75 and 105,158.25 is: 248,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,556.75 : 105,158.25 = 105,158.25 : x
  2. Step 2: Convert to fraction form
    44,556.75/105,158.25 = 105,158.25/x
  3. Step 3: Cross multiply
    44,556.75x = 105,158.25 × 105,158.25
  4. Step 4: Simplify right side
    44,556.75x = 11,058,257,543.06
  5. Step 5: Solve for x
    x = 11,058,257,543.06/44,556.75
  6. Step 6: Final answer
    x = 248,183.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.