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Finding the Third Proportional to 49,539.50 and 106,975

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Solution

The third proportional to 49,539.50 and 106,975 is: 231,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539.50 : 106,975 = 106,975 : x
  2. Step 2: Convert to fraction form
    49,539.50/106,975 = 106,975/x
  3. Step 3: Cross multiply
    49,539.50x = 106,975 × 106,975
  4. Step 4: Simplify right side
    49,539.50x = 11,443,650,625
  5. Step 5: Solve for x
    x = 11,443,650,625/49,539.50
  6. Step 6: Final answer
    x = 231,000.53

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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.