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Finding the Third Proportional to 48,706.31 and 73,198.69

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Solution

The third proportional to 48,706.31 and 73,198.69 is: 110,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.31 : 73,198.69 = 73,198.69 : x
  2. Step 2: Convert to fraction form
    48,706.31/73,198.69 = 73,198.69/x
  3. Step 3: Cross multiply
    48,706.31x = 73,198.69 × 73,198.69
  4. Step 4: Simplify right side
    48,706.31x = 5,358,047,851.72
  5. Step 5: Solve for x
    x = 5,358,047,851.72/48,706.31
  6. Step 6: Final answer
    x = 110,007.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.