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Finding the Third Proportional to 75,200 and 165,274

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Solution

The third proportional to 75,200 and 165,274 is: 363,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200 : 165,274 = 165,274 : x
  2. Step 2: Convert to fraction form
    75,200/165,274 = 165,274/x
  3. Step 3: Cross multiply
    75,200x = 165,274 × 165,274
  4. Step 4: Simplify right side
    75,200x = 27,315,495,076
  5. Step 5: Solve for x
    x = 27,315,495,076/75,200
  6. Step 6: Final answer
    x = 363,237.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.