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Finding the Third Proportional to 40,458.75 and 89,760

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Solution

The third proportional to 40,458.75 and 89,760 is: 199,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,458.75 : 89,760 = 89,760 : x
  2. Step 2: Convert to fraction form
    40,458.75/89,760 = 89,760/x
  3. Step 3: Cross multiply
    40,458.75x = 89,760 × 89,760
  4. Step 4: Simplify right side
    40,458.75x = 8,056,857,600
  5. Step 5: Solve for x
    x = 8,056,857,600/40,458.75
  6. Step 6: Final answer
    x = 199,137.58

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.