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Finding the Third Proportional to 80,654.17 and 164,076.26

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Solution

The third proportional to 80,654.17 and 164,076.26 is: 333,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,654.17 : 164,076.26 = 164,076.26 : x
  2. Step 2: Convert to fraction form
    80,654.17/164,076.26 = 164,076.26/x
  3. Step 3: Cross multiply
    80,654.17x = 164,076.26 × 164,076.26
  4. Step 4: Simplify right side
    80,654.17x = 26,921,018,377.75
  5. Step 5: Solve for x
    x = 26,921,018,377.75/80,654.17
  6. Step 6: Final answer
    x = 333,783.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.