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Finding the Third Proportional to 111,905 and 173,530

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Solution

The third proportional to 111,905 and 173,530 is: 269,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,905 : 173,530 = 173,530 : x
  2. Step 2: Convert to fraction form
    111,905/173,530 = 173,530/x
  3. Step 3: Cross multiply
    111,905x = 173,530 × 173,530
  4. Step 4: Simplify right side
    111,905x = 30,112,660,900
  5. Step 5: Solve for x
    x = 30,112,660,900/111,905
  6. Step 6: Final answer
    x = 269,091.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.