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Finding the Third Proportional to 50,175 and 110,187

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Solution

The third proportional to 50,175 and 110,187 is: 241,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,175 : 110,187 = 110,187 : x
  2. Step 2: Convert to fraction form
    50,175/110,187 = 110,187/x
  3. Step 3: Cross multiply
    50,175x = 110,187 × 110,187
  4. Step 4: Simplify right side
    50,175x = 12,141,174,969
  5. Step 5: Solve for x
    x = 12,141,174,969/50,175
  6. Step 6: Final answer
    x = 241,976.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.