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Finding the Third Proportional to 76,467 and 164,652

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Solution

The third proportional to 76,467 and 164,652 is: 354,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 164,652 = 164,652 : x
  2. Step 2: Convert to fraction form
    76,467/164,652 = 164,652/x
  3. Step 3: Cross multiply
    76,467x = 164,652 × 164,652
  4. Step 4: Simplify right side
    76,467x = 27,110,281,104
  5. Step 5: Solve for x
    x = 27,110,281,104/76,467
  6. Step 6: Final answer
    x = 354,535.70

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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.