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Finding the Third Proportional to 126,028 and 263,740

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Solution

The third proportional to 126,028 and 263,740 is: 551,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,028 : 263,740 = 263,740 : x
  2. Step 2: Convert to fraction form
    126,028/263,740 = 263,740/x
  3. Step 3: Cross multiply
    126,028x = 263,740 × 263,740
  4. Step 4: Simplify right side
    126,028x = 69,558,787,600
  5. Step 5: Solve for x
    x = 69,558,787,600/126,028
  6. Step 6: Final answer
    x = 551,931.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.