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Finding the Third Proportional to 75,107 and 116,256

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Solution

The third proportional to 75,107 and 116,256 is: 179,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107 : 116,256 = 116,256 : x
  2. Step 2: Convert to fraction form
    75,107/116,256 = 116,256/x
  3. Step 3: Cross multiply
    75,107x = 116,256 × 116,256
  4. Step 4: Simplify right side
    75,107x = 13,515,457,536
  5. Step 5: Solve for x
    x = 13,515,457,536/75,107
  6. Step 6: Final answer
    x = 179,949.37

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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.