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Finding the Third Proportional to 71,041 and 155,447

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Solution

The third proportional to 71,041 and 155,447 is: 340,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041 : 155,447 = 155,447 : x
  2. Step 2: Convert to fraction form
    71,041/155,447 = 155,447/x
  3. Step 3: Cross multiply
    71,041x = 155,447 × 155,447
  4. Step 4: Simplify right side
    71,041x = 24,163,769,809
  5. Step 5: Solve for x
    x = 24,163,769,809/71,041
  6. Step 6: Final answer
    x = 340,138.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.