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Finding the Third Proportional to 57,265.75 and 123,007.25

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Solution

The third proportional to 57,265.75 and 123,007.25 is: 264,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.75 : 123,007.25 = 123,007.25 : x
  2. Step 2: Convert to fraction form
    57,265.75/123,007.25 = 123,007.25/x
  3. Step 3: Cross multiply
    57,265.75x = 123,007.25 × 123,007.25
  4. Step 4: Simplify right side
    57,265.75x = 15,130,783,552.56
  5. Step 5: Solve for x
    x = 15,130,783,552.56/57,265.75
  6. Step 6: Final answer
    x = 264,220.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.