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Finding the Third Proportional to 59.22 and 116.94

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Solution

The third proportional to 59.22 and 116.94 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.22 : 116.94 = 116.94 : x
  2. Step 2: Convert to fraction form
    59.22/116.94 = 116.94/x
  3. Step 3: Cross multiply
    59.22x = 116.94 × 116.94
  4. Step 4: Simplify right side
    59.22x = 13,674.38
  5. Step 5: Solve for x
    x = 13,674.38/59.22
  6. Step 6: Final answer
    x = 230.91

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.