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Finding the Third Proportional to 57,168 and 89,408

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Solution

The third proportional to 57,168 and 89,408 is: 139,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 89,408 = 89,408 : x
  2. Step 2: Convert to fraction form
    57,168/89,408 = 89,408/x
  3. Step 3: Cross multiply
    57,168x = 89,408 × 89,408
  4. Step 4: Simplify right side
    57,168x = 7,993,790,464
  5. Step 5: Solve for x
    x = 7,993,790,464/57,168
  6. Step 6: Final answer
    x = 139,829.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.