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Finding the Third Proportional to 51,262 and 110,187

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Solution

The third proportional to 51,262 and 110,187 is: 236,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,262 : 110,187 = 110,187 : x
  2. Step 2: Convert to fraction form
    51,262/110,187 = 110,187/x
  3. Step 3: Cross multiply
    51,262x = 110,187 × 110,187
  4. Step 4: Simplify right side
    51,262x = 12,141,174,969
  5. Step 5: Solve for x
    x = 12,141,174,969/51,262
  6. Step 6: Final answer
    x = 236,845.52

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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.