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Finding the Third Proportional to 54,891 and 112,171.50

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Solution

The third proportional to 54,891 and 112,171.50 is: 229,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891 : 112,171.50 = 112,171.50 : x
  2. Step 2: Convert to fraction form
    54,891/112,171.50 = 112,171.50/x
  3. Step 3: Cross multiply
    54,891x = 112,171.50 × 112,171.50
  4. Step 4: Simplify right side
    54,891x = 12,582,445,412.25
  5. Step 5: Solve for x
    x = 12,582,445,412.25/54,891
  6. Step 6: Final answer
    x = 229,226.02

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.