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Finding the Third Proportional to 75,961.13 and 165,592.69

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Solution

The third proportional to 75,961.13 and 165,592.69 is: 360,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,961.13 : 165,592.69 = 165,592.69 : x
  2. Step 2: Convert to fraction form
    75,961.13/165,592.69 = 165,592.69/x
  3. Step 3: Cross multiply
    75,961.13x = 165,592.69 × 165,592.69
  4. Step 4: Simplify right side
    75,961.13x = 27,420,938,153.47
  5. Step 5: Solve for x
    x = 27,420,938,153.47/75,961.13
  6. Step 6: Final answer
    x = 360,986.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.