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Finding the Third Proportional to 91,749.50 and 140,540

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Solution

The third proportional to 91,749.50 and 140,540 is: 215,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,749.50 : 140,540 = 140,540 : x
  2. Step 2: Convert to fraction form
    91,749.50/140,540 = 140,540/x
  3. Step 3: Cross multiply
    91,749.50x = 140,540 × 140,540
  4. Step 4: Simplify right side
    91,749.50x = 19,751,491,600
  5. Step 5: Solve for x
    x = 19,751,491,600/91,749.50
  6. Step 6: Final answer
    x = 215,276.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.