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Finding the Third Proportional to 51,175 and 110,126

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Solution

The third proportional to 51,175 and 110,126 is: 236,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,175 : 110,126 = 110,126 : x
  2. Step 2: Convert to fraction form
    51,175/110,126 = 110,126/x
  3. Step 3: Cross multiply
    51,175x = 110,126 × 110,126
  4. Step 4: Simplify right side
    51,175x = 12,127,735,876
  5. Step 5: Solve for x
    x = 12,127,735,876/51,175
  6. Step 6: Final answer
    x = 236,985.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.