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Finding the Third Proportional to 84,151.41 and 125,942.34

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Solution

The third proportional to 84,151.41 and 125,942.34 is: 188,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,151.41 : 125,942.34 = 125,942.34 : x
  2. Step 2: Convert to fraction form
    84,151.41/125,942.34 = 125,942.34/x
  3. Step 3: Cross multiply
    84,151.41x = 125,942.34 × 125,942.34
  4. Step 4: Simplify right side
    84,151.41x = 15,861,473,949.24
  5. Step 5: Solve for x
    x = 15,861,473,949.24/84,151.41
  6. Step 6: Final answer
    x = 188,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.