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Finding the Third Proportional to 45.50 and 100.94

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Solution

The third proportional to 45.50 and 100.94 is: 223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.50 : 100.94 = 100.94 : x
  2. Step 2: Convert to fraction form
    45.50/100.94 = 100.94/x
  3. Step 3: Cross multiply
    45.50x = 100.94 × 100.94
  4. Step 4: Simplify right side
    45.50x = 10,188.38
  5. Step 5: Solve for x
    x = 10,188.38/45.50
  6. Step 6: Final answer
    x = 223.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.