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Finding the Third Proportional to 104.38 and 153.53

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Solution

The third proportional to 104.38 and 153.53 is: 225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.38 : 153.53 = 153.53 : x
  2. Step 2: Convert to fraction form
    104.38/153.53 = 153.53/x
  3. Step 3: Cross multiply
    104.38x = 153.53 × 153.53
  4. Step 4: Simplify right side
    104.38x = 23,571.84
  5. Step 5: Solve for x
    x = 23,571.84/104.38
  6. Step 6: Final answer
    x = 225.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.