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Finding the Third Proportional to 51,603 and 113,049

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Solution

The third proportional to 51,603 and 113,049 is: 247,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603 : 113,049 = 113,049 : x
  2. Step 2: Convert to fraction form
    51,603/113,049 = 113,049/x
  3. Step 3: Cross multiply
    51,603x = 113,049 × 113,049
  4. Step 4: Simplify right side
    51,603x = 12,780,076,401
  5. Step 5: Solve for x
    x = 12,780,076,401/51,603
  6. Step 6: Final answer
    x = 247,661.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.