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Finding the Third Proportional to 126,912 and 300,661.50

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Solution

The third proportional to 126,912 and 300,661.50 is: 712,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,912 : 300,661.50 = 300,661.50 : x
  2. Step 2: Convert to fraction form
    126,912/300,661.50 = 300,661.50/x
  3. Step 3: Cross multiply
    126,912x = 300,661.50 × 300,661.50
  4. Step 4: Simplify right side
    126,912x = 90,397,337,582.25
  5. Step 5: Solve for x
    x = 90,397,337,582.25/126,912
  6. Step 6: Final answer
    x = 712,283.61

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.