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Finding the Third Proportional to 126,720 and 277,836.75

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Solution

The third proportional to 126,720 and 277,836.75 is: 609,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 277,836.75 = 277,836.75 : x
  2. Step 2: Convert to fraction form
    126,720/277,836.75 = 277,836.75/x
  3. Step 3: Cross multiply
    126,720x = 277,836.75 × 277,836.75
  4. Step 4: Simplify right side
    126,720x = 77,193,259,650.56
  5. Step 5: Solve for x
    x = 77,193,259,650.56/126,720
  6. Step 6: Final answer
    x = 609,163.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.