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Finding the Third Proportional to 52,591 and 113,201

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Solution

The third proportional to 52,591 and 113,201 is: 243,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591 : 113,201 = 113,201 : x
  2. Step 2: Convert to fraction form
    52,591/113,201 = 113,201/x
  3. Step 3: Cross multiply
    52,591x = 113,201 × 113,201
  4. Step 4: Simplify right side
    52,591x = 12,814,466,401
  5. Step 5: Solve for x
    x = 12,814,466,401/52,591
  6. Step 6: Final answer
    x = 243,662.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.