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Finding the Third Proportional to 124,614 and 274,149

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Solution

The third proportional to 124,614 and 274,149 is: 603,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,614 : 274,149 = 274,149 : x
  2. Step 2: Convert to fraction form
    124,614/274,149 = 274,149/x
  3. Step 3: Cross multiply
    124,614x = 274,149 × 274,149
  4. Step 4: Simplify right side
    124,614x = 75,157,674,201
  5. Step 5: Solve for x
    x = 75,157,674,201/124,614
  6. Step 6: Final answer
    x = 603,123.84

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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.