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Finding the Third Proportional to 117,081 and 181,185.75

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Solution

The third proportional to 117,081 and 181,185.75 is: 280,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,081 : 181,185.75 = 181,185.75 : x
  2. Step 2: Convert to fraction form
    117,081/181,185.75 = 181,185.75/x
  3. Step 3: Cross multiply
    117,081x = 181,185.75 × 181,185.75
  4. Step 4: Simplify right side
    117,081x = 32,828,276,003.06
  5. Step 5: Solve for x
    x = 32,828,276,003.06/117,081
  6. Step 6: Final answer
    x = 280,389.44

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Why These Related Problems?

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