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Finding the Third Proportional to 40,041 and 87,129

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Solution

The third proportional to 40,041 and 87,129 is: 189,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,041 : 87,129 = 87,129 : x
  2. Step 2: Convert to fraction form
    40,041/87,129 = 87,129/x
  3. Step 3: Cross multiply
    40,041x = 87,129 × 87,129
  4. Step 4: Simplify right side
    40,041x = 7,591,462,641
  5. Step 5: Solve for x
    x = 7,591,462,641/40,041
  6. Step 6: Final answer
    x = 189,592.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.