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Finding the Third Proportional to 57,150.50 and 125,614

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Solution

The third proportional to 57,150.50 and 125,614 is: 276,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,150.50 : 125,614 = 125,614 : x
  2. Step 2: Convert to fraction form
    57,150.50/125,614 = 125,614/x
  3. Step 3: Cross multiply
    57,150.50x = 125,614 × 125,614
  4. Step 4: Simplify right side
    57,150.50x = 15,778,876,996
  5. Step 5: Solve for x
    x = 15,778,876,996/57,150.50
  6. Step 6: Final answer
    x = 276,093.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.