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Finding the Third Proportional to 116,112 and 173,718

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Solution

The third proportional to 116,112 and 173,718 is: 259,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,112 : 173,718 = 173,718 : x
  2. Step 2: Convert to fraction form
    116,112/173,718 = 173,718/x
  3. Step 3: Cross multiply
    116,112x = 173,718 × 173,718
  4. Step 4: Simplify right side
    116,112x = 30,177,943,524
  5. Step 5: Solve for x
    x = 30,177,943,524/116,112
  6. Step 6: Final answer
    x = 259,903.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.