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Finding the Third Proportional to 76,179.09 and 164,064.94

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Solution

The third proportional to 76,179.09 and 164,064.94 is: 353,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.09 : 164,064.94 = 164,064.94 : x
  2. Step 2: Convert to fraction form
    76,179.09/164,064.94 = 164,064.94/x
  3. Step 3: Cross multiply
    76,179.09x = 164,064.94 × 164,064.94
  4. Step 4: Simplify right side
    76,179.09x = 26,917,303,716.88
  5. Step 5: Solve for x
    x = 26,917,303,716.88/76,179.09
  6. Step 6: Final answer
    x = 353,342.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.