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Finding the Third Proportional to 125.25 and 269.77

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Solution

The third proportional to 125.25 and 269.77 is: 581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.25 : 269.77 = 269.77 : x
  2. Step 2: Convert to fraction form
    125.25/269.77 = 269.77/x
  3. Step 3: Cross multiply
    125.25x = 269.77 × 269.77
  4. Step 4: Simplify right side
    125.25x = 72,773.49
  5. Step 5: Solve for x
    x = 72,773.49/125.25
  6. Step 6: Final answer
    x = 581.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.