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Finding the Third Proportional to 72.56 and 100.41

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Solution

The third proportional to 72.56 and 100.41 is: 138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.56 : 100.41 = 100.41 : x
  2. Step 2: Convert to fraction form
    72.56/100.41 = 100.41/x
  3. Step 3: Cross multiply
    72.56x = 100.41 × 100.41
  4. Step 4: Simplify right side
    72.56x = 10,081.42
  5. Step 5: Solve for x
    x = 10,081.42/72.56
  6. Step 6: Final answer
    x = 138.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.