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Finding the Third Proportional to 126,243 and 275,084

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Solution

The third proportional to 126,243 and 275,084 is: 599,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,243 : 275,084 = 275,084 : x
  2. Step 2: Convert to fraction form
    126,243/275,084 = 275,084/x
  3. Step 3: Cross multiply
    126,243x = 275,084 × 275,084
  4. Step 4: Simplify right side
    126,243x = 75,671,207,056
  5. Step 5: Solve for x
    x = 75,671,207,056/126,243
  6. Step 6: Final answer
    x = 599,409.13

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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.