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Finding the Third Proportional to 76,119.75 and 166,819.50

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Solution

The third proportional to 76,119.75 and 166,819.50 is: 365,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,119.75 : 166,819.50 = 166,819.50 : x
  2. Step 2: Convert to fraction form
    76,119.75/166,819.50 = 166,819.50/x
  3. Step 3: Cross multiply
    76,119.75x = 166,819.50 × 166,819.50
  4. Step 4: Simplify right side
    76,119.75x = 27,828,745,580.25
  5. Step 5: Solve for x
    x = 27,828,745,580.25/76,119.75
  6. Step 6: Final answer
    x = 365,591.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.