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Finding the Third Proportional to 81,556.88 and 126,025.88

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Solution

The third proportional to 81,556.88 and 126,025.88 is: 194,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556.88 : 126,025.88 = 126,025.88 : x
  2. Step 2: Convert to fraction form
    81,556.88/126,025.88 = 126,025.88/x
  3. Step 3: Cross multiply
    81,556.88x = 126,025.88 × 126,025.88
  4. Step 4: Simplify right side
    81,556.88x = 15,882,521,169.52
  5. Step 5: Solve for x
    x = 15,882,521,169.52/81,556.88
  6. Step 6: Final answer
    x = 194,741.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.