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Finding the Third Proportional to 89,138 and 131,043

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Solution

The third proportional to 89,138 and 131,043 is: 192,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,138 : 131,043 = 131,043 : x
  2. Step 2: Convert to fraction form
    89,138/131,043 = 131,043/x
  3. Step 3: Cross multiply
    89,138x = 131,043 × 131,043
  4. Step 4: Simplify right side
    89,138x = 17,172,267,849
  5. Step 5: Solve for x
    x = 17,172,267,849/89,138
  6. Step 6: Final answer
    x = 192,648.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.