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Finding the Third Proportional to 70,182 and 107,868

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Solution

The third proportional to 70,182 and 107,868 is: 165,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182 : 107,868 = 107,868 : x
  2. Step 2: Convert to fraction form
    70,182/107,868 = 107,868/x
  3. Step 3: Cross multiply
    70,182x = 107,868 × 107,868
  4. Step 4: Simplify right side
    70,182x = 11,635,505,424
  5. Step 5: Solve for x
    x = 11,635,505,424/70,182
  6. Step 6: Final answer
    x = 165,790.45

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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.