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Finding the Third Proportional to 76,427.30 and 164,571.75

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Solution

The third proportional to 76,427.30 and 164,571.75 is: 354,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,427.30 : 164,571.75 = 164,571.75 : x
  2. Step 2: Convert to fraction form
    76,427.30/164,571.75 = 164,571.75/x
  3. Step 3: Cross multiply
    76,427.30x = 164,571.75 × 164,571.75
  4. Step 4: Simplify right side
    76,427.30x = 27,083,860,898.06
  5. Step 5: Solve for x
    x = 27,083,860,898.06/76,427.30
  6. Step 6: Final answer
    x = 354,374.18

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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.