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Finding the Third Proportional to 89,797 and 140,865

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Solution

The third proportional to 89,797 and 140,865 is: 220,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,797 : 140,865 = 140,865 : x
  2. Step 2: Convert to fraction form
    89,797/140,865 = 140,865/x
  3. Step 3: Cross multiply
    89,797x = 140,865 × 140,865
  4. Step 4: Simplify right side
    89,797x = 19,842,948,225
  5. Step 5: Solve for x
    x = 19,842,948,225/89,797
  6. Step 6: Final answer
    x = 220,975.63

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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.