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Finding the Third Proportional to 126,678.94 and 275,261.63

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Solution

The third proportional to 126,678.94 and 275,261.63 is: 598,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,678.94 : 275,261.63 = 275,261.63 : x
  2. Step 2: Convert to fraction form
    126,678.94/275,261.63 = 275,261.63/x
  3. Step 3: Cross multiply
    126,678.94x = 275,261.63 × 275,261.63
  4. Step 4: Simplify right side
    126,678.94x = 75,768,962,197.64
  5. Step 5: Solve for x
    x = 75,768,962,197.64/126,678.94
  6. Step 6: Final answer
    x = 598,118.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.