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Finding the Third Proportional to 49,414 and 102,122

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Solution

The third proportional to 49,414 and 102,122 is: 211,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,414 : 102,122 = 102,122 : x
  2. Step 2: Convert to fraction form
    49,414/102,122 = 102,122/x
  3. Step 3: Cross multiply
    49,414x = 102,122 × 102,122
  4. Step 4: Simplify right side
    49,414x = 10,428,902,884
  5. Step 5: Solve for x
    x = 10,428,902,884/49,414
  6. Step 6: Final answer
    x = 211,051.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.