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Finding the Third Proportional to 69,514 and 107,167

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Solution

The third proportional to 69,514 and 107,167 is: 165,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,514 : 107,167 = 107,167 : x
  2. Step 2: Convert to fraction form
    69,514/107,167 = 107,167/x
  3. Step 3: Cross multiply
    69,514x = 107,167 × 107,167
  4. Step 4: Simplify right side
    69,514x = 11,484,765,889
  5. Step 5: Solve for x
    x = 11,484,765,889/69,514
  6. Step 6: Final answer
    x = 165,215.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.