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Finding the Third Proportional to 36,158 and 77,873

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Solution

The third proportional to 36,158 and 77,873 is: 167,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,158 : 77,873 = 77,873 : x
  2. Step 2: Convert to fraction form
    36,158/77,873 = 77,873/x
  3. Step 3: Cross multiply
    36,158x = 77,873 × 77,873
  4. Step 4: Simplify right side
    36,158x = 6,064,204,129
  5. Step 5: Solve for x
    x = 6,064,204,129/36,158
  6. Step 6: Final answer
    x = 167,714.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.