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Finding the Third Proportional to 85,027 and 127,096

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Solution

The third proportional to 85,027 and 127,096 is: 189,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,027 : 127,096 = 127,096 : x
  2. Step 2: Convert to fraction form
    85,027/127,096 = 127,096/x
  3. Step 3: Cross multiply
    85,027x = 127,096 × 127,096
  4. Step 4: Simplify right side
    85,027x = 16,153,393,216
  5. Step 5: Solve for x
    x = 16,153,393,216/85,027
  6. Step 6: Final answer
    x = 189,979.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.