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Finding the Third Proportional to 42,181.25 and 89,105.50

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Solution

The third proportional to 42,181.25 and 89,105.50 is: 188,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,181.25 : 89,105.50 = 89,105.50 : x
  2. Step 2: Convert to fraction form
    42,181.25/89,105.50 = 89,105.50/x
  3. Step 3: Cross multiply
    42,181.25x = 89,105.50 × 89,105.50
  4. Step 4: Simplify right side
    42,181.25x = 7,939,790,130.25
  5. Step 5: Solve for x
    x = 7,939,790,130.25/42,181.25
  6. Step 6: Final answer
    x = 188,230.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.