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Finding the Third Proportional to 132,285 and 189,094

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Solution

The third proportional to 132,285 and 189,094 is: 270,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285 : 189,094 = 189,094 : x
  2. Step 2: Convert to fraction form
    132,285/189,094 = 189,094/x
  3. Step 3: Cross multiply
    132,285x = 189,094 × 189,094
  4. Step 4: Simplify right side
    132,285x = 35,756,540,836
  5. Step 5: Solve for x
    x = 35,756,540,836/132,285
  6. Step 6: Final answer
    x = 270,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.