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Finding the Third Proportional to 110,068 and 165,350

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Solution

The third proportional to 110,068 and 165,350 is: 248,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,068 : 165,350 = 165,350 : x
  2. Step 2: Convert to fraction form
    110,068/165,350 = 165,350/x
  3. Step 3: Cross multiply
    110,068x = 165,350 × 165,350
  4. Step 4: Simplify right side
    110,068x = 27,340,622,500
  5. Step 5: Solve for x
    x = 27,340,622,500/110,068
  6. Step 6: Final answer
    x = 248,397.56

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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.