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Finding the Third Proportional to 76,015.34 and 164,708.44

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Solution

The third proportional to 76,015.34 and 164,708.44 is: 356,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015.34 : 164,708.44 = 164,708.44 : x
  2. Step 2: Convert to fraction form
    76,015.34/164,708.44 = 164,708.44/x
  3. Step 3: Cross multiply
    76,015.34x = 164,708.44 × 164,708.44
  4. Step 4: Simplify right side
    76,015.34x = 27,128,869,383.69
  5. Step 5: Solve for x
    x = 27,128,869,383.69/76,015.34
  6. Step 6: Final answer
    x = 356,886.79

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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.