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Finding the Third Proportional to 110,005 and 165,250

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Solution

The third proportional to 110,005 and 165,250 is: 248,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,005 : 165,250 = 165,250 : x
  2. Step 2: Convert to fraction form
    110,005/165,250 = 165,250/x
  3. Step 3: Cross multiply
    110,005x = 165,250 × 165,250
  4. Step 4: Simplify right side
    110,005x = 27,307,562,500
  5. Step 5: Solve for x
    x = 27,307,562,500/110,005
  6. Step 6: Final answer
    x = 248,239.28

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