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Finding the Third Proportional to 49,708.69 and 72,193.78

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Solution

The third proportional to 49,708.69 and 72,193.78 is: 104,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,708.69 : 72,193.78 = 72,193.78 : x
  2. Step 2: Convert to fraction form
    49,708.69/72,193.78 = 72,193.78/x
  3. Step 3: Cross multiply
    49,708.69x = 72,193.78 × 72,193.78
  4. Step 4: Simplify right side
    49,708.69x = 5,211,942,051.17
  5. Step 5: Solve for x
    x = 5,211,942,051.17/49,708.69
  6. Step 6: Final answer
    x = 104,849.72

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.