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Finding the Third Proportional to 52,771.50 and 113,825.25

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Solution

The third proportional to 52,771.50 and 113,825.25 is: 245,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.50 : 113,825.25 = 113,825.25 : x
  2. Step 2: Convert to fraction form
    52,771.50/113,825.25 = 113,825.25/x
  3. Step 3: Cross multiply
    52,771.50x = 113,825.25 × 113,825.25
  4. Step 4: Simplify right side
    52,771.50x = 12,956,187,537.56
  5. Step 5: Solve for x
    x = 12,956,187,537.56/52,771.50
  6. Step 6: Final answer
    x = 245,514.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.