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Finding the Third Proportional to 73,930 and 101,175

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Solution

The third proportional to 73,930 and 101,175 is: 138,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,930 : 101,175 = 101,175 : x
  2. Step 2: Convert to fraction form
    73,930/101,175 = 101,175/x
  3. Step 3: Cross multiply
    73,930x = 101,175 × 101,175
  4. Step 4: Simplify right side
    73,930x = 10,236,380,625
  5. Step 5: Solve for x
    x = 10,236,380,625/73,930
  6. Step 6: Final answer
    x = 138,460.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.