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Finding the Third Proportional to 75,006 and 116,109

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Solution

The third proportional to 75,006 and 116,109 is: 179,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,006 : 116,109 = 116,109 : x
  2. Step 2: Convert to fraction form
    75,006/116,109 = 116,109/x
  3. Step 3: Cross multiply
    75,006x = 116,109 × 116,109
  4. Step 4: Simplify right side
    75,006x = 13,481,299,881
  5. Step 5: Solve for x
    x = 13,481,299,881/75,006
  6. Step 6: Final answer
    x = 179,736.29

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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.