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Finding the Third Proportional to 51,842.50 and 108,907.50

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Solution

The third proportional to 51,842.50 and 108,907.50 is: 228,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.50 : 108,907.50 = 108,907.50 : x
  2. Step 2: Convert to fraction form
    51,842.50/108,907.50 = 108,907.50/x
  3. Step 3: Cross multiply
    51,842.50x = 108,907.50 × 108,907.50
  4. Step 4: Simplify right side
    51,842.50x = 11,860,843,556.25
  5. Step 5: Solve for x
    x = 11,860,843,556.25/51,842.50
  6. Step 6: Final answer
    x = 228,786.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.