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Finding the Third Proportional to 52,887.38 and 110,149

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Solution

The third proportional to 52,887.38 and 110,149 is: 229,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,887.38 : 110,149 = 110,149 : x
  2. Step 2: Convert to fraction form
    52,887.38/110,149 = 110,149/x
  3. Step 3: Cross multiply
    52,887.38x = 110,149 × 110,149
  4. Step 4: Simplify right side
    52,887.38x = 12,132,802,201
  5. Step 5: Solve for x
    x = 12,132,802,201/52,887.38
  6. Step 6: Final answer
    x = 229,408.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.