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Finding the Third Proportional to 89,693 and 140,718

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Solution

The third proportional to 89,693 and 140,718 is: 220,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693 : 140,718 = 140,718 : x
  2. Step 2: Convert to fraction form
    89,693/140,718 = 140,718/x
  3. Step 3: Cross multiply
    89,693x = 140,718 × 140,718
  4. Step 4: Simplify right side
    89,693x = 19,801,555,524
  5. Step 5: Solve for x
    x = 19,801,555,524/89,693
  6. Step 6: Final answer
    x = 220,770.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.