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Finding the Third Proportional to 82,370 and 167,654

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Solution

The third proportional to 82,370 and 167,654 is: 341,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,370 : 167,654 = 167,654 : x
  2. Step 2: Convert to fraction form
    82,370/167,654 = 167,654/x
  3. Step 3: Cross multiply
    82,370x = 167,654 × 167,654
  4. Step 4: Simplify right side
    82,370x = 28,107,863,716
  5. Step 5: Solve for x
    x = 28,107,863,716/82,370
  6. Step 6: Final answer
    x = 341,239.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.