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Finding the Third Proportional to 82,334 and 177,151

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Solution

The third proportional to 82,334 and 177,151 is: 381,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,334 : 177,151 = 177,151 : x
  2. Step 2: Convert to fraction form
    82,334/177,151 = 177,151/x
  3. Step 3: Cross multiply
    82,334x = 177,151 × 177,151
  4. Step 4: Simplify right side
    82,334x = 31,382,476,801
  5. Step 5: Solve for x
    x = 31,382,476,801/82,334
  6. Step 6: Final answer
    x = 381,160.60

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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.