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Finding the Third Proportional to 95,742 and 134,161.31

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Solution

The third proportional to 95,742 and 134,161.31 is: 187,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742 : 134,161.31 = 134,161.31 : x
  2. Step 2: Convert to fraction form
    95,742/134,161.31 = 134,161.31/x
  3. Step 3: Cross multiply
    95,742x = 134,161.31 × 134,161.31
  4. Step 4: Simplify right side
    95,742x = 17,999,257,771.72
  5. Step 5: Solve for x
    x = 17,999,257,771.72/95,742
  6. Step 6: Final answer
    x = 187,997.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.