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Finding the Third Proportional to 113,900 and 181,022.25

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Solution

The third proportional to 113,900 and 181,022.25 is: 287,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,900 : 181,022.25 = 181,022.25 : x
  2. Step 2: Convert to fraction form
    113,900/181,022.25 = 181,022.25/x
  3. Step 3: Cross multiply
    113,900x = 181,022.25 × 181,022.25
  4. Step 4: Simplify right side
    113,900x = 32,769,054,995.06
  5. Step 5: Solve for x
    x = 32,769,054,995.06/113,900
  6. Step 6: Final answer
    x = 287,700.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.