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Finding the Third Proportional to 75,216 and 165,191

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Solution

The third proportional to 75,216 and 165,191 is: 362,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 165,191 = 165,191 : x
  2. Step 2: Convert to fraction form
    75,216/165,191 = 165,191/x
  3. Step 3: Cross multiply
    75,216x = 165,191 × 165,191
  4. Step 4: Simplify right side
    75,216x = 27,288,066,481
  5. Step 5: Solve for x
    x = 27,288,066,481/75,216
  6. Step 6: Final answer
    x = 362,796.03

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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.