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Finding the Third Proportional to 40,732.88 and 85,189.64

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Solution

The third proportional to 40,732.88 and 85,189.64 is: 178,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,732.88 : 85,189.64 = 85,189.64 : x
  2. Step 2: Convert to fraction form
    40,732.88/85,189.64 = 85,189.64/x
  3. Step 3: Cross multiply
    40,732.88x = 85,189.64 × 85,189.64
  4. Step 4: Simplify right side
    40,732.88x = 7,257,274,869.82
  5. Step 5: Solve for x
    x = 7,257,274,869.82/40,732.88
  6. Step 6: Final answer
    x = 178,167.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.