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Finding the Third Proportional to 57,408.75 and 89,256.94

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Solution

The third proportional to 57,408.75 and 89,256.94 is: 138,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.75 : 89,256.94 = 89,256.94 : x
  2. Step 2: Convert to fraction form
    57,408.75/89,256.94 = 89,256.94/x
  3. Step 3: Cross multiply
    57,408.75x = 89,256.94 × 89,256.94
  4. Step 4: Simplify right side
    57,408.75x = 7,966,800,891.88
  5. Step 5: Solve for x
    x = 7,966,800,891.88/57,408.75
  6. Step 6: Final answer
    x = 138,773.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.