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Finding the Third Proportional to 75,262 and 165,883

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Solution

The third proportional to 75,262 and 165,883 is: 365,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262 : 165,883 = 165,883 : x
  2. Step 2: Convert to fraction form
    75,262/165,883 = 165,883/x
  3. Step 3: Cross multiply
    75,262x = 165,883 × 165,883
  4. Step 4: Simplify right side
    75,262x = 27,517,169,689
  5. Step 5: Solve for x
    x = 27,517,169,689/75,262
  6. Step 6: Final answer
    x = 365,618.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.