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Finding the Third Proportional to 47,180.25 and 72,408.75

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Solution

The third proportional to 47,180.25 and 72,408.75 is: 111,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,180.25 : 72,408.75 = 72,408.75 : x
  2. Step 2: Convert to fraction form
    47,180.25/72,408.75 = 72,408.75/x
  3. Step 3: Cross multiply
    47,180.25x = 72,408.75 × 72,408.75
  4. Step 4: Simplify right side
    47,180.25x = 5,243,027,076.56
  5. Step 5: Solve for x
    x = 5,243,027,076.56/47,180.25
  6. Step 6: Final answer
    x = 111,127.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.