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Finding the Third Proportional to 42,175.69 and 89,226.56

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Solution

The third proportional to 42,175.69 and 89,226.56 is: 188,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.69 : 89,226.56 = 89,226.56 : x
  2. Step 2: Convert to fraction form
    42,175.69/89,226.56 = 89,226.56/x
  3. Step 3: Cross multiply
    42,175.69x = 89,226.56 × 89,226.56
  4. Step 4: Simplify right side
    42,175.69x = 7,961,379,455.57
  5. Step 5: Solve for x
    x = 7,961,379,455.57/42,175.69
  6. Step 6: Final answer
    x = 188,767.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.