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Finding the Third Proportional to 89,882 and 140,995

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Solution

The third proportional to 89,882 and 140,995 is: 221,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,882 : 140,995 = 140,995 : x
  2. Step 2: Convert to fraction form
    89,882/140,995 = 140,995/x
  3. Step 3: Cross multiply
    89,882x = 140,995 × 140,995
  4. Step 4: Simplify right side
    89,882x = 19,879,590,025
  5. Step 5: Solve for x
    x = 19,879,590,025/89,882
  6. Step 6: Final answer
    x = 221,174.32

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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.