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Finding the Third Proportional to 90.20 and 143.41

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Solution

The third proportional to 90.20 and 143.41 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.20 : 143.41 = 143.41 : x
  2. Step 2: Convert to fraction form
    90.20/143.41 = 143.41/x
  3. Step 3: Cross multiply
    90.20x = 143.41 × 143.41
  4. Step 4: Simplify right side
    90.20x = 20,566.75
  5. Step 5: Solve for x
    x = 20,566.75/90.20
  6. Step 6: Final answer
    x = 228.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.