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Finding the Third Proportional to 40,057.50 and 85,293

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Solution

The third proportional to 40,057.50 and 85,293 is: 181,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.50 : 85,293 = 85,293 : x
  2. Step 2: Convert to fraction form
    40,057.50/85,293 = 85,293/x
  3. Step 3: Cross multiply
    40,057.50x = 85,293 × 85,293
  4. Step 4: Simplify right side
    40,057.50x = 7,274,895,849
  5. Step 5: Solve for x
    x = 7,274,895,849/40,057.50
  6. Step 6: Final answer
    x = 181,611.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.