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Finding the Third Proportional to 75,441 and 165,390

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Solution

The third proportional to 75,441 and 165,390 is: 362,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,441 : 165,390 = 165,390 : x
  2. Step 2: Convert to fraction form
    75,441/165,390 = 165,390/x
  3. Step 3: Cross multiply
    75,441x = 165,390 × 165,390
  4. Step 4: Simplify right side
    75,441x = 27,353,852,100
  5. Step 5: Solve for x
    x = 27,353,852,100/75,441
  6. Step 6: Final answer
    x = 362,586.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.