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Finding the Third Proportional to 40,444 and 86,742

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Solution

The third proportional to 40,444 and 86,742 is: 186,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,444 : 86,742 = 86,742 : x
  2. Step 2: Convert to fraction form
    40,444/86,742 = 86,742/x
  3. Step 3: Cross multiply
    40,444x = 86,742 × 86,742
  4. Step 4: Simplify right side
    40,444x = 7,524,174,564
  5. Step 5: Solve for x
    x = 7,524,174,564/40,444
  6. Step 6: Final answer
    x = 186,039.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.