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Finding the Third Proportional to 36,159 and 77,868

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Solution

The third proportional to 36,159 and 77,868 is: 167,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,159 : 77,868 = 77,868 : x
  2. Step 2: Convert to fraction form
    36,159/77,868 = 77,868/x
  3. Step 3: Cross multiply
    36,159x = 77,868 × 77,868
  4. Step 4: Simplify right side
    36,159x = 6,063,425,424
  5. Step 5: Solve for x
    x = 6,063,425,424/36,159
  6. Step 6: Final answer
    x = 167,687.86

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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.