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Finding the Third Proportional to 52,408.50 and 113,676

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Solution

The third proportional to 52,408.50 and 113,676 is: 246,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.50 : 113,676 = 113,676 : x
  2. Step 2: Convert to fraction form
    52,408.50/113,676 = 113,676/x
  3. Step 3: Cross multiply
    52,408.50x = 113,676 × 113,676
  4. Step 4: Simplify right side
    52,408.50x = 12,922,232,976
  5. Step 5: Solve for x
    x = 12,922,232,976/52,408.50
  6. Step 6: Final answer
    x = 246,567.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.