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Finding the Third Proportional to 75,978 and 165,332

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Solution

The third proportional to 75,978 and 165,332 is: 359,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 165,332 = 165,332 : x
  2. Step 2: Convert to fraction form
    75,978/165,332 = 165,332/x
  3. Step 3: Cross multiply
    75,978x = 165,332 × 165,332
  4. Step 4: Simplify right side
    75,978x = 27,334,670,224
  5. Step 5: Solve for x
    x = 27,334,670,224/75,978
  6. Step 6: Final answer
    x = 359,770.86

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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.