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Finding the Third Proportional to 92,682 and 165,421

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Solution

The third proportional to 92,682 and 165,421 is: 295,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,682 : 165,421 = 165,421 : x
  2. Step 2: Convert to fraction form
    92,682/165,421 = 165,421/x
  3. Step 3: Cross multiply
    92,682x = 165,421 × 165,421
  4. Step 4: Simplify right side
    92,682x = 27,364,107,241
  5. Step 5: Solve for x
    x = 27,364,107,241/92,682
  6. Step 6: Final answer
    x = 295,247.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.