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Finding the Third Proportional to 90,250 and 132,296

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Solution

The third proportional to 90,250 and 132,296 is: 193,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,250 : 132,296 = 132,296 : x
  2. Step 2: Convert to fraction form
    90,250/132,296 = 132,296/x
  3. Step 3: Cross multiply
    90,250x = 132,296 × 132,296
  4. Step 4: Simplify right side
    90,250x = 17,502,231,616
  5. Step 5: Solve for x
    x = 17,502,231,616/90,250
  6. Step 6: Final answer
    x = 193,930.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.