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Finding the Third Proportional to 76,654 and 164,966

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Solution

The third proportional to 76,654 and 164,966 is: 355,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654 : 164,966 = 164,966 : x
  2. Step 2: Convert to fraction form
    76,654/164,966 = 164,966/x
  3. Step 3: Cross multiply
    76,654x = 164,966 × 164,966
  4. Step 4: Simplify right side
    76,654x = 27,213,781,156
  5. Step 5: Solve for x
    x = 27,213,781,156/76,654
  6. Step 6: Final answer
    x = 355,021.02

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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.