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Finding the Third Proportional to 125,274 and 262,856

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Solution

The third proportional to 125,274 and 262,856 is: 551,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,274 : 262,856 = 262,856 : x
  2. Step 2: Convert to fraction form
    125,274/262,856 = 262,856/x
  3. Step 3: Cross multiply
    125,274x = 262,856 × 262,856
  4. Step 4: Simplify right side
    125,274x = 69,093,276,736
  5. Step 5: Solve for x
    x = 69,093,276,736/125,274
  6. Step 6: Final answer
    x = 551,537.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.