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Finding the Third Proportional to 124,861 and 275,170

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Solution

The third proportional to 124,861 and 275,170 is: 606,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,861 : 275,170 = 275,170 : x
  2. Step 2: Convert to fraction form
    124,861/275,170 = 275,170/x
  3. Step 3: Cross multiply
    124,861x = 275,170 × 275,170
  4. Step 4: Simplify right side
    124,861x = 75,718,528,900
  5. Step 5: Solve for x
    x = 75,718,528,900/124,861
  6. Step 6: Final answer
    x = 606,422.57

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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.