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Finding the Third Proportional to 69,144 and 106,956

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Solution

The third proportional to 69,144 and 106,956 is: 165,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144 : 106,956 = 106,956 : x
  2. Step 2: Convert to fraction form
    69,144/106,956 = 106,956/x
  3. Step 3: Cross multiply
    69,144x = 106,956 × 106,956
  4. Step 4: Simplify right side
    69,144x = 11,439,585,936
  5. Step 5: Solve for x
    x = 11,439,585,936/69,144
  6. Step 6: Final answer
    x = 165,445.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.