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Finding the Third Proportional to 110,566.69 and 165,676.22

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Solution

The third proportional to 110,566.69 and 165,676.22 is: 248,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,566.69 : 165,676.22 = 165,676.22 : x
  2. Step 2: Convert to fraction form
    110,566.69/165,676.22 = 165,676.22/x
  3. Step 3: Cross multiply
    110,566.69x = 165,676.22 × 165,676.22
  4. Step 4: Simplify right side
    110,566.69x = 27,448,609,459.30
  5. Step 5: Solve for x
    x = 27,448,609,459.30/110,566.69
  6. Step 6: Final answer
    x = 248,253.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.