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Finding the Third Proportional to 90,326 and 127,086

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Solution

The third proportional to 90,326 and 127,086 is: 178,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,326 : 127,086 = 127,086 : x
  2. Step 2: Convert to fraction form
    90,326/127,086 = 127,086/x
  3. Step 3: Cross multiply
    90,326x = 127,086 × 127,086
  4. Step 4: Simplify right side
    90,326x = 16,150,851,396
  5. Step 5: Solve for x
    x = 16,150,851,396/90,326
  6. Step 6: Final answer
    x = 178,806.23

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