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Finding the Third Proportional to 90.70 and 131.20

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Solution

The third proportional to 90.70 and 131.20 is: 189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 131.20 = 131.20 : x
  2. Step 2: Convert to fraction form
    90.70/131.20 = 131.20/x
  3. Step 3: Cross multiply
    90.70x = 131.20 × 131.20
  4. Step 4: Simplify right side
    90.70x = 17,214.26
  5. Step 5: Solve for x
    x = 17,214.26/90.70
  6. Step 6: Final answer
    x = 189.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.