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Finding the Third Proportional to 76,406 and 164,098

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Solution

The third proportional to 76,406 and 164,098 is: 352,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,406 : 164,098 = 164,098 : x
  2. Step 2: Convert to fraction form
    76,406/164,098 = 164,098/x
  3. Step 3: Cross multiply
    76,406x = 164,098 × 164,098
  4. Step 4: Simplify right side
    76,406x = 26,928,153,604
  5. Step 5: Solve for x
    x = 26,928,153,604/76,406
  6. Step 6: Final answer
    x = 352,435.07

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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.