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Finding the Third Proportional to 125,876 and 262,016

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Solution

The third proportional to 125,876 and 262,016 is: 545,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,876 : 262,016 = 262,016 : x
  2. Step 2: Convert to fraction form
    125,876/262,016 = 262,016/x
  3. Step 3: Cross multiply
    125,876x = 262,016 × 262,016
  4. Step 4: Simplify right side
    125,876x = 68,652,384,256
  5. Step 5: Solve for x
    x = 68,652,384,256/125,876
  6. Step 6: Final answer
    x = 545,396.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.