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Finding the Third Proportional to 126,420.75 and 278,295.75

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Solution

The third proportional to 126,420.75 and 278,295.75 is: 612,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,420.75 : 278,295.75 = 278,295.75 : x
  2. Step 2: Convert to fraction form
    126,420.75/278,295.75 = 278,295.75/x
  3. Step 3: Cross multiply
    126,420.75x = 278,295.75 × 278,295.75
  4. Step 4: Simplify right side
    126,420.75x = 77,448,524,468.06
  5. Step 5: Solve for x
    x = 77,448,524,468.06/126,420.75
  6. Step 6: Final answer
    x = 612,625.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.