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Finding the Third Proportional to 69,858 and 142,956

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Solution

The third proportional to 69,858 and 142,956 is: 292,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,858 : 142,956 = 142,956 : x
  2. Step 2: Convert to fraction form
    69,858/142,956 = 142,956/x
  3. Step 3: Cross multiply
    69,858x = 142,956 × 142,956
  4. Step 4: Simplify right side
    69,858x = 20,436,417,936
  5. Step 5: Solve for x
    x = 20,436,417,936/69,858
  6. Step 6: Final answer
    x = 292,542.27

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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.