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Finding the Third Proportional to 90.21 and 128.18

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Solution

The third proportional to 90.21 and 128.18 is: 182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.21 : 128.18 = 128.18 : x
  2. Step 2: Convert to fraction form
    90.21/128.18 = 128.18/x
  3. Step 3: Cross multiply
    90.21x = 128.18 × 128.18
  4. Step 4: Simplify right side
    90.21x = 16,430.03
  5. Step 5: Solve for x
    x = 16,430.03/90.21
  6. Step 6: Final answer
    x = 182.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.