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Finding the Third Proportional to 69,036 and 142,476

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Solution

The third proportional to 69,036 and 142,476 is: 294,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,036 : 142,476 = 142,476 : x
  2. Step 2: Convert to fraction form
    69,036/142,476 = 142,476/x
  3. Step 3: Cross multiply
    69,036x = 142,476 × 142,476
  4. Step 4: Simplify right side
    69,036x = 20,299,410,576
  5. Step 5: Solve for x
    x = 20,299,410,576/69,036
  6. Step 6: Final answer
    x = 294,040.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.