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Finding the Third Proportional to 76,722.19 and 167,383.97

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Solution

The third proportional to 76,722.19 and 167,383.97 is: 365,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,722.19 : 167,383.97 = 167,383.97 : x
  2. Step 2: Convert to fraction form
    76,722.19/167,383.97 = 167,383.97/x
  3. Step 3: Cross multiply
    76,722.19x = 167,383.97 × 167,383.97
  4. Step 4: Simplify right side
    76,722.19x = 28,017,392,994.50
  5. Step 5: Solve for x
    x = 28,017,392,994.50/76,722.19
  6. Step 6: Final answer
    x = 365,179.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.