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Finding the Third Proportional to 36,175 and 87,137

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Solution

The third proportional to 36,175 and 87,137 is: 209,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175 : 87,137 = 87,137 : x
  2. Step 2: Convert to fraction form
    36,175/87,137 = 87,137/x
  3. Step 3: Cross multiply
    36,175x = 87,137 × 87,137
  4. Step 4: Simplify right side
    36,175x = 7,592,856,769
  5. Step 5: Solve for x
    x = 7,592,856,769/36,175
  6. Step 6: Final answer
    x = 209,892.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.