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Finding the Third Proportional to 75,978 and 164,835

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Solution

The third proportional to 75,978 and 164,835 is: 357,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 164,835 = 164,835 : x
  2. Step 2: Convert to fraction form
    75,978/164,835 = 164,835/x
  3. Step 3: Cross multiply
    75,978x = 164,835 × 164,835
  4. Step 4: Simplify right side
    75,978x = 27,170,577,225
  5. Step 5: Solve for x
    x = 27,170,577,225/75,978
  6. Step 6: Final answer
    x = 357,611.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.