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Finding the Third Proportional to 50,749.50 and 109,275

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Solution

The third proportional to 50,749.50 and 109,275 is: 235,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,749.50 : 109,275 = 109,275 : x
  2. Step 2: Convert to fraction form
    50,749.50/109,275 = 109,275/x
  3. Step 3: Cross multiply
    50,749.50x = 109,275 × 109,275
  4. Step 4: Simplify right side
    50,749.50x = 11,941,025,625
  5. Step 5: Solve for x
    x = 11,941,025,625/50,749.50
  6. Step 6: Final answer
    x = 235,293.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.