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Finding the Third Proportional to 110,104 and 165,873

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Solution

The third proportional to 110,104 and 165,873 is: 249,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,104 : 165,873 = 165,873 : x
  2. Step 2: Convert to fraction form
    110,104/165,873 = 165,873/x
  3. Step 3: Cross multiply
    110,104x = 165,873 × 165,873
  4. Step 4: Simplify right side
    110,104x = 27,513,852,129
  5. Step 5: Solve for x
    x = 27,513,852,129/110,104
  6. Step 6: Final answer
    x = 249,889.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.