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Finding the Third Proportional to 126,933.47 and 275,749.59

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Solution

The third proportional to 126,933.47 and 275,749.59 is: 599,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,933.47 : 275,749.59 = 275,749.59 : x
  2. Step 2: Convert to fraction form
    126,933.47/275,749.59 = 275,749.59/x
  3. Step 3: Cross multiply
    126,933.47x = 275,749.59 × 275,749.59
  4. Step 4: Simplify right side
    126,933.47x = 76,037,838,453.29
  5. Step 5: Solve for x
    x = 76,037,838,453.29/126,933.47
  6. Step 6: Final answer
    x = 599,036.95

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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.