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Finding the Third Proportional to 89,968 and 134,462

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Solution

The third proportional to 89,968 and 134,462 is: 200,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,968 : 134,462 = 134,462 : x
  2. Step 2: Convert to fraction form
    89,968/134,462 = 134,462/x
  3. Step 3: Cross multiply
    89,968x = 134,462 × 134,462
  4. Step 4: Simplify right side
    89,968x = 18,080,029,444
  5. Step 5: Solve for x
    x = 18,080,029,444/89,968
  6. Step 6: Final answer
    x = 200,960.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.