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Finding the Third Proportional to 52,835.50 and 115,467.50

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Solution

The third proportional to 52,835.50 and 115,467.50 is: 252,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.50 : 115,467.50 = 115,467.50 : x
  2. Step 2: Convert to fraction form
    52,835.50/115,467.50 = 115,467.50/x
  3. Step 3: Cross multiply
    52,835.50x = 115,467.50 × 115,467.50
  4. Step 4: Simplify right side
    52,835.50x = 13,332,743,556.25
  5. Step 5: Solve for x
    x = 13,332,743,556.25/52,835.50
  6. Step 6: Final answer
    x = 252,344.42

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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.