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Finding the Third Proportional to 126,038 and 263,760

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Solution

The third proportional to 126,038 and 263,760 is: 551,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,038 : 263,760 = 263,760 : x
  2. Step 2: Convert to fraction form
    126,038/263,760 = 263,760/x
  3. Step 3: Cross multiply
    126,038x = 263,760 × 263,760
  4. Step 4: Simplify right side
    126,038x = 69,569,337,600
  5. Step 5: Solve for x
    x = 69,569,337,600/126,038
  6. Step 6: Final answer
    x = 551,971.13

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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.