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Finding the Third Proportional to 52,045 and 113,519

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Solution

The third proportional to 52,045 and 113,519 is: 247,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045 : 113,519 = 113,519 : x
  2. Step 2: Convert to fraction form
    52,045/113,519 = 113,519/x
  3. Step 3: Cross multiply
    52,045x = 113,519 × 113,519
  4. Step 4: Simplify right side
    52,045x = 12,886,563,361
  5. Step 5: Solve for x
    x = 12,886,563,361/52,045
  6. Step 6: Final answer
    x = 247,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.