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Finding the Third Proportional to 69,149 and 106,795

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Solution

The third proportional to 69,149 and 106,795 is: 164,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149 : 106,795 = 106,795 : x
  2. Step 2: Convert to fraction form
    69,149/106,795 = 106,795/x
  3. Step 3: Cross multiply
    69,149x = 106,795 × 106,795
  4. Step 4: Simplify right side
    69,149x = 11,405,172,025
  5. Step 5: Solve for x
    x = 11,405,172,025/69,149
  6. Step 6: Final answer
    x = 164,936.18

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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.