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Finding the Third Proportional to 49,669.50 and 117,165

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Solution

The third proportional to 49,669.50 and 117,165 is: 276,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,669.50 : 117,165 = 117,165 : x
  2. Step 2: Convert to fraction form
    49,669.50/117,165 = 117,165/x
  3. Step 3: Cross multiply
    49,669.50x = 117,165 × 117,165
  4. Step 4: Simplify right side
    49,669.50x = 13,727,637,225
  5. Step 5: Solve for x
    x = 13,727,637,225/49,669.50
  6. Step 6: Final answer
    x = 276,379.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.