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Finding the Third Proportional to 52,690.50 and 114,311.25

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Solution

The third proportional to 52,690.50 and 114,311.25 is: 247,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690.50 : 114,311.25 = 114,311.25 : x
  2. Step 2: Convert to fraction form
    52,690.50/114,311.25 = 114,311.25/x
  3. Step 3: Cross multiply
    52,690.50x = 114,311.25 × 114,311.25
  4. Step 4: Simplify right side
    52,690.50x = 13,067,061,876.56
  5. Step 5: Solve for x
    x = 13,067,061,876.56/52,690.50
  6. Step 6: Final answer
    x = 247,996.54

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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.