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Finding the Third Proportional to 75,979 and 165,337

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Solution

The third proportional to 75,979 and 165,337 is: 359,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,979 : 165,337 = 165,337 : x
  2. Step 2: Convert to fraction form
    75,979/165,337 = 165,337/x
  3. Step 3: Cross multiply
    75,979x = 165,337 × 165,337
  4. Step 4: Simplify right side
    75,979x = 27,336,323,569
  5. Step 5: Solve for x
    x = 27,336,323,569/75,979
  6. Step 6: Final answer
    x = 359,787.88

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