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Finding the Third Proportional to 90.75 and 138.53

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Solution

The third proportional to 90.75 and 138.53 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 138.53 = 138.53 : x
  2. Step 2: Convert to fraction form
    90.75/138.53 = 138.53/x
  3. Step 3: Cross multiply
    90.75x = 138.53 × 138.53
  4. Step 4: Simplify right side
    90.75x = 19,190.91
  5. Step 5: Solve for x
    x = 19,190.91/90.75
  6. Step 6: Final answer
    x = 211.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.