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Finding the Third Proportional to 42,129.75 and 89,454.75

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Solution

The third proportional to 42,129.75 and 89,454.75 is: 189,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,129.75 : 89,454.75 = 89,454.75 : x
  2. Step 2: Convert to fraction form
    42,129.75/89,454.75 = 89,454.75/x
  3. Step 3: Cross multiply
    42,129.75x = 89,454.75 × 89,454.75
  4. Step 4: Simplify right side
    42,129.75x = 8,002,152,297.56
  5. Step 5: Solve for x
    x = 8,002,152,297.56/42,129.75
  6. Step 6: Final answer
    x = 189,940.65

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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.