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Finding the Third Proportional to 85,165 and 175,797

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Solution

The third proportional to 85,165 and 175,797 is: 362,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,165 : 175,797 = 175,797 : x
  2. Step 2: Convert to fraction form
    85,165/175,797 = 175,797/x
  3. Step 3: Cross multiply
    85,165x = 175,797 × 175,797
  4. Step 4: Simplify right side
    85,165x = 30,904,585,209
  5. Step 5: Solve for x
    x = 30,904,585,209/85,165
  6. Step 6: Final answer
    x = 362,878.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.