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Finding the Third Proportional to 126,021 and 275,154

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Solution

The third proportional to 126,021 and 275,154 is: 600,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,021 : 275,154 = 275,154 : x
  2. Step 2: Convert to fraction form
    126,021/275,154 = 275,154/x
  3. Step 3: Cross multiply
    126,021x = 275,154 × 275,154
  4. Step 4: Simplify right side
    126,021x = 75,709,723,716
  5. Step 5: Solve for x
    x = 75,709,723,716/126,021
  6. Step 6: Final answer
    x = 600,770.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.