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Finding the Third Proportional to 89,962 and 137,326

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Solution

The third proportional to 89,962 and 137,326 is: 209,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,962 : 137,326 = 137,326 : x
  2. Step 2: Convert to fraction form
    89,962/137,326 = 137,326/x
  3. Step 3: Cross multiply
    89,962x = 137,326 × 137,326
  4. Step 4: Simplify right side
    89,962x = 18,858,430,276
  5. Step 5: Solve for x
    x = 18,858,430,276/89,962
  6. Step 6: Final answer
    x = 209,626.62

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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.