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Finding the Third Proportional to 109,677 and 165,325

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Solution

The third proportional to 109,677 and 165,325 is: 249,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,677 : 165,325 = 165,325 : x
  2. Step 2: Convert to fraction form
    109,677/165,325 = 165,325/x
  3. Step 3: Cross multiply
    109,677x = 165,325 × 165,325
  4. Step 4: Simplify right side
    109,677x = 27,332,355,625
  5. Step 5: Solve for x
    x = 27,332,355,625/109,677
  6. Step 6: Final answer
    x = 249,207.72

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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.