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Finding the Third Proportional to 49,545 and 103,950

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Solution

The third proportional to 49,545 and 103,950 is: 218,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,545 : 103,950 = 103,950 : x
  2. Step 2: Convert to fraction form
    49,545/103,950 = 103,950/x
  3. Step 3: Cross multiply
    49,545x = 103,950 × 103,950
  4. Step 4: Simplify right side
    49,545x = 10,805,602,500
  5. Step 5: Solve for x
    x = 10,805,602,500/49,545
  6. Step 6: Final answer
    x = 218,096.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.