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Finding the Third Proportional to 76,662 and 164,982

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Solution

The third proportional to 76,662 and 164,982 is: 355,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,662 : 164,982 = 164,982 : x
  2. Step 2: Convert to fraction form
    76,662/164,982 = 164,982/x
  3. Step 3: Cross multiply
    76,662x = 164,982 × 164,982
  4. Step 4: Simplify right side
    76,662x = 27,219,060,324
  5. Step 5: Solve for x
    x = 27,219,060,324/76,662
  6. Step 6: Final answer
    x = 355,052.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.