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Finding the Third Proportional to 90.44 and 141.47

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Solution

The third proportional to 90.44 and 141.47 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.44 : 141.47 = 141.47 : x
  2. Step 2: Convert to fraction form
    90.44/141.47 = 141.47/x
  3. Step 3: Cross multiply
    90.44x = 141.47 × 141.47
  4. Step 4: Simplify right side
    90.44x = 20,013.41
  5. Step 5: Solve for x
    x = 20,013.41/90.44
  6. Step 6: Final answer
    x = 221.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.