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Finding the Third Proportional to 124,636 and 274,191

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Solution

The third proportional to 124,636 and 274,191 is: 603,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,636 : 274,191 = 274,191 : x
  2. Step 2: Convert to fraction form
    124,636/274,191 = 274,191/x
  3. Step 3: Cross multiply
    124,636x = 274,191 × 274,191
  4. Step 4: Simplify right side
    124,636x = 75,180,704,481
  5. Step 5: Solve for x
    x = 75,180,704,481/124,636
  6. Step 6: Final answer
    x = 603,202.16

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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.