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Finding the Third Proportional to 45.97 and 100.72

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Solution

The third proportional to 45.97 and 100.72 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.97 : 100.72 = 100.72 : x
  2. Step 2: Convert to fraction form
    45.97/100.72 = 100.72/x
  3. Step 3: Cross multiply
    45.97x = 100.72 × 100.72
  4. Step 4: Simplify right side
    45.97x = 10,144.27
  5. Step 5: Solve for x
    x = 10,144.27/45.97
  6. Step 6: Final answer
    x = 220.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.