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Finding the Third Proportional to 75,827 and 165,035

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Solution

The third proportional to 75,827 and 165,035 is: 359,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,827 : 165,035 = 165,035 : x
  2. Step 2: Convert to fraction form
    75,827/165,035 = 165,035/x
  3. Step 3: Cross multiply
    75,827x = 165,035 × 165,035
  4. Step 4: Simplify right side
    75,827x = 27,236,551,225
  5. Step 5: Solve for x
    x = 27,236,551,225/75,827
  6. Step 6: Final answer
    x = 359,193.31

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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.