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Finding the Third Proportional to 76,179.56 and 164,065.69

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Solution

The third proportional to 76,179.56 and 164,065.69 is: 353,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.56 : 164,065.69 = 164,065.69 : x
  2. Step 2: Convert to fraction form
    76,179.56/164,065.69 = 164,065.69/x
  3. Step 3: Cross multiply
    76,179.56x = 164,065.69 × 164,065.69
  4. Step 4: Simplify right side
    76,179.56x = 26,917,549,814.85
  5. Step 5: Solve for x
    x = 26,917,549,814.85/76,179.56
  6. Step 6: Final answer
    x = 353,343.46

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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.