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Finding the Third Proportional to 69,096 and 106,698

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Solution

The third proportional to 69,096 and 106,698 is: 164,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096 : 106,698 = 106,698 : x
  2. Step 2: Convert to fraction form
    69,096/106,698 = 106,698/x
  3. Step 3: Cross multiply
    69,096x = 106,698 × 106,698
  4. Step 4: Simplify right side
    69,096x = 11,384,463,204
  5. Step 5: Solve for x
    x = 11,384,463,204/69,096
  6. Step 6: Final answer
    x = 164,762.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.