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Finding the Third Proportional to 76,179.75 and 164,066.63

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Solution

The third proportional to 76,179.75 and 164,066.63 is: 353,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.75 : 164,066.63 = 164,066.63 : x
  2. Step 2: Convert to fraction form
    76,179.75/164,066.63 = 164,066.63/x
  3. Step 3: Cross multiply
    76,179.75x = 164,066.63 × 164,066.63
  4. Step 4: Simplify right side
    76,179.75x = 26,917,857,438.89
  5. Step 5: Solve for x
    x = 26,917,857,438.89/76,179.75
  6. Step 6: Final answer
    x = 353,346.62

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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.