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Finding the Third Proportional to 104,744 and 156,698

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Solution

The third proportional to 104,744 and 156,698 is: 234,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,744 : 156,698 = 156,698 : x
  2. Step 2: Convert to fraction form
    104,744/156,698 = 156,698/x
  3. Step 3: Cross multiply
    104,744x = 156,698 × 156,698
  4. Step 4: Simplify right side
    104,744x = 24,554,263,204
  5. Step 5: Solve for x
    x = 24,554,263,204/104,744
  6. Step 6: Final answer
    x = 234,421.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.