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Finding the Third Proportional to 75,105 and 116,253

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Solution

The third proportional to 75,105 and 116,253 is: 179,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105 : 116,253 = 116,253 : x
  2. Step 2: Convert to fraction form
    75,105/116,253 = 116,253/x
  3. Step 3: Cross multiply
    75,105x = 116,253 × 116,253
  4. Step 4: Simplify right side
    75,105x = 13,514,760,009
  5. Step 5: Solve for x
    x = 13,514,760,009/75,105
  6. Step 6: Final answer
    x = 179,944.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.