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Finding the Third Proportional to 42,807.75 and 68,175.75

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Solution

The third proportional to 42,807.75 and 68,175.75 is: 108,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.75 : 68,175.75 = 68,175.75 : x
  2. Step 2: Convert to fraction form
    42,807.75/68,175.75 = 68,175.75/x
  3. Step 3: Cross multiply
    42,807.75x = 68,175.75 × 68,175.75
  4. Step 4: Simplify right side
    42,807.75x = 4,647,932,888.06
  5. Step 5: Solve for x
    x = 4,647,932,888.06/42,807.75
  6. Step 6: Final answer
    x = 108,576.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.