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Finding the Third Proportional to 49,435 and 116,647

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Solution

The third proportional to 49,435 and 116,647 is: 275,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435 : 116,647 = 116,647 : x
  2. Step 2: Convert to fraction form
    49,435/116,647 = 116,647/x
  3. Step 3: Cross multiply
    49,435x = 116,647 × 116,647
  4. Step 4: Simplify right side
    49,435x = 13,606,522,609
  5. Step 5: Solve for x
    x = 13,606,522,609/49,435
  6. Step 6: Final answer
    x = 275,240.67

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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.