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Finding the Third Proportional to 76,479.82 and 164,027.53

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Solution

The third proportional to 76,479.82 and 164,027.53 is: 351,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,479.82 : 164,027.53 = 164,027.53 : x
  2. Step 2: Convert to fraction form
    76,479.82/164,027.53 = 164,027.53/x
  3. Step 3: Cross multiply
    76,479.82x = 164,027.53 × 164,027.53
  4. Step 4: Simplify right side
    76,479.82x = 26,905,031,007.97
  5. Step 5: Solve for x
    x = 26,905,031,007.97/76,479.82
  6. Step 6: Final answer
    x = 351,792.55

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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.