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Finding the Third Proportional to 100,571.63 and 140,940

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Solution

The third proportional to 100,571.63 and 140,940 is: 197,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,571.63 : 140,940 = 140,940 : x
  2. Step 2: Convert to fraction form
    100,571.63/140,940 = 140,940/x
  3. Step 3: Cross multiply
    100,571.63x = 140,940 × 140,940
  4. Step 4: Simplify right side
    100,571.63x = 19,864,083,600
  5. Step 5: Solve for x
    x = 19,864,083,600/100,571.63
  6. Step 6: Final answer
    x = 197,511.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.