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Finding the Third Proportional to 89,739 and 140,794

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Solution

The third proportional to 89,739 and 140,794 is: 220,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739 : 140,794 = 140,794 : x
  2. Step 2: Convert to fraction form
    89,739/140,794 = 140,794/x
  3. Step 3: Cross multiply
    89,739x = 140,794 × 140,794
  4. Step 4: Simplify right side
    89,739x = 19,822,950,436
  5. Step 5: Solve for x
    x = 19,822,950,436/89,739
  6. Step 6: Final answer
    x = 220,895.60

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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.