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Finding the Third Proportional to 57,736 and 90,249

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Solution

The third proportional to 57,736 and 90,249 is: 141,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 90,249 = 90,249 : x
  2. Step 2: Convert to fraction form
    57,736/90,249 = 90,249/x
  3. Step 3: Cross multiply
    57,736x = 90,249 × 90,249
  4. Step 4: Simplify right side
    57,736x = 8,144,882,001
  5. Step 5: Solve for x
    x = 8,144,882,001/57,736
  6. Step 6: Final answer
    x = 141,071.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.