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Finding the Third Proportional to 85,166 and 179,151

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Solution

The third proportional to 85,166 and 179,151 is: 376,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,166 : 179,151 = 179,151 : x
  2. Step 2: Convert to fraction form
    85,166/179,151 = 179,151/x
  3. Step 3: Cross multiply
    85,166x = 179,151 × 179,151
  4. Step 4: Simplify right side
    85,166x = 32,095,080,801
  5. Step 5: Solve for x
    x = 32,095,080,801/85,166
  6. Step 6: Final answer
    x = 376,853.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.