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Finding the Third Proportional to 57,446 and 126,230.50

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Solution

The third proportional to 57,446 and 126,230.50 is: 277,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446 : 126,230.50 = 126,230.50 : x
  2. Step 2: Convert to fraction form
    57,446/126,230.50 = 126,230.50/x
  3. Step 3: Cross multiply
    57,446x = 126,230.50 × 126,230.50
  4. Step 4: Simplify right side
    57,446x = 15,934,139,130.25
  5. Step 5: Solve for x
    x = 15,934,139,130.25/57,446
  6. Step 6: Final answer
    x = 277,375.96

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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.