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Finding the Third Proportional to 49,144 and 102,175

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Solution

The third proportional to 49,144 and 102,175 is: 212,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144 : 102,175 = 102,175 : x
  2. Step 2: Convert to fraction form
    49,144/102,175 = 102,175/x
  3. Step 3: Cross multiply
    49,144x = 102,175 × 102,175
  4. Step 4: Simplify right side
    49,144x = 10,439,730,625
  5. Step 5: Solve for x
    x = 10,439,730,625/49,144
  6. Step 6: Final answer
    x = 212,431.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.