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Finding the Third Proportional to 49,819 and 76,187

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Solution

The third proportional to 49,819 and 76,187 is: 116,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,819 : 76,187 = 76,187 : x
  2. Step 2: Convert to fraction form
    49,819/76,187 = 76,187/x
  3. Step 3: Cross multiply
    49,819x = 76,187 × 76,187
  4. Step 4: Simplify right side
    49,819x = 5,804,458,969
  5. Step 5: Solve for x
    x = 5,804,458,969/49,819
  6. Step 6: Final answer
    x = 116,510.95

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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.