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Finding the Third Proportional to 126,689.81 and 275,431.31

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Solution

The third proportional to 126,689.81 and 275,431.31 is: 598,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,689.81 : 275,431.31 = 275,431.31 : x
  2. Step 2: Convert to fraction form
    126,689.81/275,431.31 = 275,431.31/x
  3. Step 3: Cross multiply
    126,689.81x = 275,431.31 × 275,431.31
  4. Step 4: Simplify right side
    126,689.81x = 75,862,407,905.47
  5. Step 5: Solve for x
    x = 75,862,407,905.47/126,689.81
  6. Step 6: Final answer
    x = 598,804.33

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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.