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Finding the Third Proportional to 42,807.56 and 68,175.38

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Solution

The third proportional to 42,807.56 and 68,175.38 is: 108,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.56 : 68,175.38 = 68,175.38 : x
  2. Step 2: Convert to fraction form
    42,807.56/68,175.38 = 68,175.38/x
  3. Step 3: Cross multiply
    42,807.56x = 68,175.38 × 68,175.38
  4. Step 4: Simplify right side
    42,807.56x = 4,647,881,756.39
  5. Step 5: Solve for x
    x = 4,647,881,756.39/42,807.56
  6. Step 6: Final answer
    x = 108,576.18

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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.