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Finding the Third Proportional to 50.55 and 109.37

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Solution

The third proportional to 50.55 and 109.37 is: 236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.55 : 109.37 = 109.37 : x
  2. Step 2: Convert to fraction form
    50.55/109.37 = 109.37/x
  3. Step 3: Cross multiply
    50.55x = 109.37 × 109.37
  4. Step 4: Simplify right side
    50.55x = 11,962.04
  5. Step 5: Solve for x
    x = 11,962.04/50.55
  6. Step 6: Final answer
    x = 236.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.