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Finding the Third Proportional to 76,736 and 164,132

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Solution

The third proportional to 76,736 and 164,132 is: 351,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,736 : 164,132 = 164,132 : x
  2. Step 2: Convert to fraction form
    76,736/164,132 = 164,132/x
  3. Step 3: Cross multiply
    76,736x = 164,132 × 164,132
  4. Step 4: Simplify right side
    76,736x = 26,939,313,424
  5. Step 5: Solve for x
    x = 26,939,313,424/76,736
  6. Step 6: Final answer
    x = 351,064.86

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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.