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Finding the Third Proportional to 92,892 and 142,337

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Solution

The third proportional to 92,892 and 142,337 is: 218,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,892 : 142,337 = 142,337 : x
  2. Step 2: Convert to fraction form
    92,892/142,337 = 142,337/x
  3. Step 3: Cross multiply
    92,892x = 142,337 × 142,337
  4. Step 4: Simplify right side
    92,892x = 20,259,821,569
  5. Step 5: Solve for x
    x = 20,259,821,569/92,892
  6. Step 6: Final answer
    x = 218,100.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.