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Finding the Third Proportional to 124,630 and 274,170

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Solution

The third proportional to 124,630 and 274,170 is: 603,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,630 : 274,170 = 274,170 : x
  2. Step 2: Convert to fraction form
    124,630/274,170 = 274,170/x
  3. Step 3: Cross multiply
    124,630x = 274,170 × 274,170
  4. Step 4: Simplify right side
    124,630x = 75,169,188,900
  5. Step 5: Solve for x
    x = 75,169,188,900/124,630
  6. Step 6: Final answer
    x = 603,138.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.