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Finding the Third Proportional to 92,523 and 198,162

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Solution

The third proportional to 92,523 and 198,162 is: 424,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,523 : 198,162 = 198,162 : x
  2. Step 2: Convert to fraction form
    92,523/198,162 = 198,162/x
  3. Step 3: Cross multiply
    92,523x = 198,162 × 198,162
  4. Step 4: Simplify right side
    92,523x = 39,268,178,244
  5. Step 5: Solve for x
    x = 39,268,178,244/92,523
  6. Step 6: Final answer
    x = 424,415.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.