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Finding the Third Proportional to 58.22 and 127.83

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Solution

The third proportional to 58.22 and 127.83 is: 280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 127.83 = 127.83 : x
  2. Step 2: Convert to fraction form
    58.22/127.83 = 127.83/x
  3. Step 3: Cross multiply
    58.22x = 127.83 × 127.83
  4. Step 4: Simplify right side
    58.22x = 16,340.03
  5. Step 5: Solve for x
    x = 16,340.03/58.22
  6. Step 6: Final answer
    x = 280.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.