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Finding the Third Proportional to 40,446 and 87,462

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Solution

The third proportional to 40,446 and 87,462 is: 189,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446 : 87,462 = 87,462 : x
  2. Step 2: Convert to fraction form
    40,446/87,462 = 87,462/x
  3. Step 3: Cross multiply
    40,446x = 87,462 × 87,462
  4. Step 4: Simplify right side
    40,446x = 7,649,601,444
  5. Step 5: Solve for x
    x = 7,649,601,444/40,446
  6. Step 6: Final answer
    x = 189,131.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.