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Finding the Third Proportional to 69,622 and 142,933

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Solution

The third proportional to 69,622 and 142,933 is: 293,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,622 : 142,933 = 142,933 : x
  2. Step 2: Convert to fraction form
    69,622/142,933 = 142,933/x
  3. Step 3: Cross multiply
    69,622x = 142,933 × 142,933
  4. Step 4: Simplify right side
    69,622x = 20,429,842,489
  5. Step 5: Solve for x
    x = 20,429,842,489/69,622
  6. Step 6: Final answer
    x = 293,439.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.