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Finding the Third Proportional to 69,094 and 106,695

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Solution

The third proportional to 69,094 and 106,695 is: 164,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094 : 106,695 = 106,695 : x
  2. Step 2: Convert to fraction form
    69,094/106,695 = 106,695/x
  3. Step 3: Cross multiply
    69,094x = 106,695 × 106,695
  4. Step 4: Simplify right side
    69,094x = 11,383,823,025
  5. Step 5: Solve for x
    x = 11,383,823,025/69,094
  6. Step 6: Final answer
    x = 164,758.49

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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.