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Finding the Third Proportional to 71,928.56 and 108,892.41

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Solution

The third proportional to 71,928.56 and 108,892.41 is: 164,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,928.56 : 108,892.41 = 108,892.41 : x
  2. Step 2: Convert to fraction form
    71,928.56/108,892.41 = 108,892.41/x
  3. Step 3: Cross multiply
    71,928.56x = 108,892.41 × 108,892.41
  4. Step 4: Simplify right side
    71,928.56x = 11,857,556,138.92
  5. Step 5: Solve for x
    x = 11,857,556,138.92/71,928.56
  6. Step 6: Final answer
    x = 164,851.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.