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Finding the Third Proportional to 125.94 and 276.59

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Solution

The third proportional to 125.94 and 276.59 is: 607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 276.59 = 276.59 : x
  2. Step 2: Convert to fraction form
    125.94/276.59 = 276.59/x
  3. Step 3: Cross multiply
    125.94x = 276.59 × 276.59
  4. Step 4: Simplify right side
    125.94x = 76,504.10
  5. Step 5: Solve for x
    x = 76,504.10/125.94
  6. Step 6: Final answer
    x = 607.48

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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.