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Finding the Third Proportional to 69,401 and 103,911

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Solution

The third proportional to 69,401 and 103,911 is: 155,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,401 : 103,911 = 103,911 : x
  2. Step 2: Convert to fraction form
    69,401/103,911 = 103,911/x
  3. Step 3: Cross multiply
    69,401x = 103,911 × 103,911
  4. Step 4: Simplify right side
    69,401x = 10,797,495,921
  5. Step 5: Solve for x
    x = 10,797,495,921/69,401
  6. Step 6: Final answer
    x = 155,581.27

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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.