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Finding the Third Proportional to 86,118.82 and 126,171.11

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Solution

The third proportional to 86,118.82 and 126,171.11 is: 184,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,118.82 : 126,171.11 = 126,171.11 : x
  2. Step 2: Convert to fraction form
    86,118.82/126,171.11 = 126,171.11/x
  3. Step 3: Cross multiply
    86,118.82x = 126,171.11 × 126,171.11
  4. Step 4: Simplify right side
    86,118.82x = 15,919,147,855.21
  5. Step 5: Solve for x
    x = 15,919,147,855.21/86,118.82
  6. Step 6: Final answer
    x = 184,850.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.