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Finding the Third Proportional to 41,692 and 88,850

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Solution

The third proportional to 41,692 and 88,850 is: 189,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 88,850 = 88,850 : x
  2. Step 2: Convert to fraction form
    41,692/88,850 = 88,850/x
  3. Step 3: Cross multiply
    41,692x = 88,850 × 88,850
  4. Step 4: Simplify right side
    41,692x = 7,894,322,500
  5. Step 5: Solve for x
    x = 7,894,322,500/41,692
  6. Step 6: Final answer
    x = 189,348.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.