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Finding the Third Proportional to 69,041 and 142,996

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Solution

The third proportional to 69,041 and 142,996 is: 296,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,041 : 142,996 = 142,996 : x
  2. Step 2: Convert to fraction form
    69,041/142,996 = 142,996/x
  3. Step 3: Cross multiply
    69,041x = 142,996 × 142,996
  4. Step 4: Simplify right side
    69,041x = 20,447,856,016
  5. Step 5: Solve for x
    x = 20,447,856,016/69,041
  6. Step 6: Final answer
    x = 296,169.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.