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Finding the Third Proportional to 102,961 and 188,836

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Solution

The third proportional to 102,961 and 188,836 is: 346,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,961 : 188,836 = 188,836 : x
  2. Step 2: Convert to fraction form
    102,961/188,836 = 188,836/x
  3. Step 3: Cross multiply
    102,961x = 188,836 × 188,836
  4. Step 4: Simplify right side
    102,961x = 35,659,034,896
  5. Step 5: Solve for x
    x = 35,659,034,896/102,961
  6. Step 6: Final answer
    x = 346,335.36

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.