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Finding the Third Proportional to 40,744 and 90,237

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Solution

The third proportional to 40,744 and 90,237 is: 199,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,744 : 90,237 = 90,237 : x
  2. Step 2: Convert to fraction form
    40,744/90,237 = 90,237/x
  3. Step 3: Cross multiply
    40,744x = 90,237 × 90,237
  4. Step 4: Simplify right side
    40,744x = 8,142,716,169
  5. Step 5: Solve for x
    x = 8,142,716,169/40,744
  6. Step 6: Final answer
    x = 199,850.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.