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Finding the Third Proportional to 57,881.25 and 125,232.75

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Solution

The third proportional to 57,881.25 and 125,232.75 is: 270,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881.25 : 125,232.75 = 125,232.75 : x
  2. Step 2: Convert to fraction form
    57,881.25/125,232.75 = 125,232.75/x
  3. Step 3: Cross multiply
    57,881.25x = 125,232.75 × 125,232.75
  4. Step 4: Simplify right side
    57,881.25x = 15,683,241,672.56
  5. Step 5: Solve for x
    x = 15,683,241,672.56/57,881.25
  6. Step 6: Final answer
    x = 270,955.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.