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Finding the Third Proportional to 40,105 and 86,567

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Solution

The third proportional to 40,105 and 86,567 is: 186,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105 : 86,567 = 86,567 : x
  2. Step 2: Convert to fraction form
    40,105/86,567 = 86,567/x
  3. Step 3: Cross multiply
    40,105x = 86,567 × 86,567
  4. Step 4: Simplify right side
    40,105x = 7,493,845,489
  5. Step 5: Solve for x
    x = 7,493,845,489/40,105
  6. Step 6: Final answer
    x = 186,855.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.