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Finding the Third Proportional to 45,063.75 and 104,319.75

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Solution

The third proportional to 45,063.75 and 104,319.75 is: 241,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,063.75 : 104,319.75 = 104,319.75 : x
  2. Step 2: Convert to fraction form
    45,063.75/104,319.75 = 104,319.75/x
  3. Step 3: Cross multiply
    45,063.75x = 104,319.75 × 104,319.75
  4. Step 4: Simplify right side
    45,063.75x = 10,882,610,240.06
  5. Step 5: Solve for x
    x = 10,882,610,240.06/45,063.75
  6. Step 6: Final answer
    x = 241,493.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.