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Finding the Third Proportional to 57,267 and 122,735.25

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Solution

The third proportional to 57,267 and 122,735.25 is: 263,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,267 : 122,735.25 = 122,735.25 : x
  2. Step 2: Convert to fraction form
    57,267/122,735.25 = 122,735.25/x
  3. Step 3: Cross multiply
    57,267x = 122,735.25 × 122,735.25
  4. Step 4: Simplify right side
    57,267x = 15,063,941,592.56
  5. Step 5: Solve for x
    x = 15,063,941,592.56/57,267
  6. Step 6: Final answer
    x = 263,047.51

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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.