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Finding the Third Proportional to 69,544 and 142,393

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Solution

The third proportional to 69,544 and 142,393 is: 291,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544 : 142,393 = 142,393 : x
  2. Step 2: Convert to fraction form
    69,544/142,393 = 142,393/x
  3. Step 3: Cross multiply
    69,544x = 142,393 × 142,393
  4. Step 4: Simplify right side
    69,544x = 20,275,766,449
  5. Step 5: Solve for x
    x = 20,275,766,449/69,544
  6. Step 6: Final answer
    x = 291,553.07

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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.