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Finding the Third Proportional to 125.94 and 268.44

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Solution

The third proportional to 125.94 and 268.44 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 268.44 = 268.44 : x
  2. Step 2: Convert to fraction form
    125.94/268.44 = 268.44/x
  3. Step 3: Cross multiply
    125.94x = 268.44 × 268.44
  4. Step 4: Simplify right side
    125.94x = 72,058.69
  5. Step 5: Solve for x
    x = 72,058.69/125.94
  6. Step 6: Final answer
    x = 572.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.