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Finding the Third Proportional to 57,543.75 and 123,084.56

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Solution

The third proportional to 57,543.75 and 123,084.56 is: 263,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543.75 : 123,084.56 = 123,084.56 : x
  2. Step 2: Convert to fraction form
    57,543.75/123,084.56 = 123,084.56/x
  3. Step 3: Cross multiply
    57,543.75x = 123,084.56 × 123,084.56
  4. Step 4: Simplify right side
    57,543.75x = 15,149,809,525.82
  5. Step 5: Solve for x
    x = 15,149,809,525.82/57,543.75
  6. Step 6: Final answer
    x = 263,274.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.