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Finding the Third Proportional to 125.94 and 263.56

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Solution

The third proportional to 125.94 and 263.56 is: 551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 263.56 = 263.56 : x
  2. Step 2: Convert to fraction form
    125.94/263.56 = 263.56/x
  3. Step 3: Cross multiply
    125.94x = 263.56 × 263.56
  4. Step 4: Simplify right side
    125.94x = 69,465.19
  5. Step 5: Solve for x
    x = 69,465.19/125.94
  6. Step 6: Final answer
    x = 551.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.