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Finding the Third Proportional to 51,949.69 and 112,188.38

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Solution

The third proportional to 51,949.69 and 112,188.38 is: 242,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,949.69 : 112,188.38 = 112,188.38 : x
  2. Step 2: Convert to fraction form
    51,949.69/112,188.38 = 112,188.38/x
  3. Step 3: Cross multiply
    51,949.69x = 112,188.38 × 112,188.38
  4. Step 4: Simplify right side
    51,949.69x = 12,586,231,485.14
  5. Step 5: Solve for x
    x = 12,586,231,485.14/51,949.69
  6. Step 6: Final answer
    x = 242,277.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.