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Finding the Third Proportional to 90.49 and 144.91

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Solution

The third proportional to 90.49 and 144.91 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.49 : 144.91 = 144.91 : x
  2. Step 2: Convert to fraction form
    90.49/144.91 = 144.91/x
  3. Step 3: Cross multiply
    90.49x = 144.91 × 144.91
  4. Step 4: Simplify right side
    90.49x = 21,000.09
  5. Step 5: Solve for x
    x = 21,000.09/90.49
  6. Step 6: Final answer
    x = 232.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.