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Finding the Third Proportional to 89,131 and 139,165

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Solution

The third proportional to 89,131 and 139,165 is: 217,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,131 : 139,165 = 139,165 : x
  2. Step 2: Convert to fraction form
    89,131/139,165 = 139,165/x
  3. Step 3: Cross multiply
    89,131x = 139,165 × 139,165
  4. Step 4: Simplify right side
    89,131x = 19,366,897,225
  5. Step 5: Solve for x
    x = 19,366,897,225/89,131
  6. Step 6: Final answer
    x = 217,285.76

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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.