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Finding the Third Proportional to 129,232 and 188,836

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Solution

The third proportional to 129,232 and 188,836 is: 275,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,232 : 188,836 = 188,836 : x
  2. Step 2: Convert to fraction form
    129,232/188,836 = 188,836/x
  3. Step 3: Cross multiply
    129,232x = 188,836 × 188,836
  4. Step 4: Simplify right side
    129,232x = 35,659,034,896
  5. Step 5: Solve for x
    x = 35,659,034,896/129,232
  6. Step 6: Final answer
    x = 275,930.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.