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Finding the Third Proportional to 90.84 and 149.06

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Solution

The third proportional to 90.84 and 149.06 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.84 : 149.06 = 149.06 : x
  2. Step 2: Convert to fraction form
    90.84/149.06 = 149.06/x
  3. Step 3: Cross multiply
    90.84x = 149.06 × 149.06
  4. Step 4: Simplify right side
    90.84x = 22,219.63
  5. Step 5: Solve for x
    x = 22,219.63/90.84
  6. Step 6: Final answer
    x = 244.59

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.