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Finding the Third Proportional to 72.32 and 105.94

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Solution

The third proportional to 72.32 and 105.94 is: 155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.32 : 105.94 = 105.94 : x
  2. Step 2: Convert to fraction form
    72.32/105.94 = 105.94/x
  3. Step 3: Cross multiply
    72.32x = 105.94 × 105.94
  4. Step 4: Simplify right side
    72.32x = 11,224.00
  5. Step 5: Solve for x
    x = 11,224.00/72.32
  6. Step 6: Final answer
    x = 155.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.