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Finding the Third Proportional to 125,467 and 257,049

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Solution

The third proportional to 125,467 and 257,049 is: 526,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467 : 257,049 = 257,049 : x
  2. Step 2: Convert to fraction form
    125,467/257,049 = 257,049/x
  3. Step 3: Cross multiply
    125,467x = 257,049 × 257,049
  4. Step 4: Simplify right side
    125,467x = 66,074,188,401
  5. Step 5: Solve for x
    x = 66,074,188,401/125,467
  6. Step 6: Final answer
    x = 526,626.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.