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Finding the Third Proportional to 125,259 and 262,827

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Solution

The third proportional to 125,259 and 262,827 is: 551,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,259 : 262,827 = 262,827 : x
  2. Step 2: Convert to fraction form
    125,259/262,827 = 262,827/x
  3. Step 3: Cross multiply
    125,259x = 262,827 × 262,827
  4. Step 4: Simplify right side
    125,259x = 69,078,031,929
  5. Step 5: Solve for x
    x = 69,078,031,929/125,259
  6. Step 6: Final answer
    x = 551,481.59

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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.