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Finding the Third Proportional to 69,852 and 142,932

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Solution

The third proportional to 69,852 and 142,932 is: 292,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,852 : 142,932 = 142,932 : x
  2. Step 2: Convert to fraction form
    69,852/142,932 = 142,932/x
  3. Step 3: Cross multiply
    69,852x = 142,932 × 142,932
  4. Step 4: Simplify right side
    69,852x = 20,429,556,624
  5. Step 5: Solve for x
    x = 20,429,556,624/69,852
  6. Step 6: Final answer
    x = 292,469.17

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