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Finding the Third Proportional to 76,479.56 and 164,027.06

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Solution

The third proportional to 76,479.56 and 164,027.06 is: 351,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,479.56 : 164,027.06 = 164,027.06 : x
  2. Step 2: Convert to fraction form
    76,479.56/164,027.06 = 164,027.06/x
  3. Step 3: Cross multiply
    76,479.56x = 164,027.06 × 164,027.06
  4. Step 4: Simplify right side
    76,479.56x = 26,904,877,232.38
  5. Step 5: Solve for x
    x = 26,904,877,232.38/76,479.56
  6. Step 6: Final answer
    x = 351,791.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.