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Finding the Third Proportional to 90,325 and 127,085

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Solution

The third proportional to 90,325 and 127,085 is: 178,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,325 : 127,085 = 127,085 : x
  2. Step 2: Convert to fraction form
    90,325/127,085 = 127,085/x
  3. Step 3: Cross multiply
    90,325x = 127,085 × 127,085
  4. Step 4: Simplify right side
    90,325x = 16,150,597,225
  5. Step 5: Solve for x
    x = 16,150,597,225/90,325
  6. Step 6: Final answer
    x = 178,805.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.