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Finding the Third Proportional to 50,987 and 110,174

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Solution

The third proportional to 50,987 and 110,174 is: 238,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,987 : 110,174 = 110,174 : x
  2. Step 2: Convert to fraction form
    50,987/110,174 = 110,174/x
  3. Step 3: Cross multiply
    50,987x = 110,174 × 110,174
  4. Step 4: Simplify right side
    50,987x = 12,138,310,276
  5. Step 5: Solve for x
    x = 12,138,310,276/50,987
  6. Step 6: Final answer
    x = 238,066.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.