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Finding the Third Proportional to 86,638.50 and 108,451.69

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Solution

The third proportional to 86,638.50 and 108,451.69 is: 135,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,638.50 : 108,451.69 = 108,451.69 : x
  2. Step 2: Convert to fraction form
    86,638.50/108,451.69 = 108,451.69/x
  3. Step 3: Cross multiply
    86,638.50x = 108,451.69 × 108,451.69
  4. Step 4: Simplify right side
    86,638.50x = 11,761,768,521.60
  5. Step 5: Solve for x
    x = 11,761,768,521.60/86,638.50
  6. Step 6: Final answer
    x = 135,756.83

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.