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Finding the Third Proportional to 80,898.19 and 126,628.69

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Solution

The third proportional to 80,898.19 and 126,628.69 is: 198,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,898.19 : 126,628.69 = 126,628.69 : x
  2. Step 2: Convert to fraction form
    80,898.19/126,628.69 = 126,628.69/x
  3. Step 3: Cross multiply
    80,898.19x = 126,628.69 × 126,628.69
  4. Step 4: Simplify right side
    80,898.19x = 16,034,824,497.97
  5. Step 5: Solve for x
    x = 16,034,824,497.97/80,898.19
  6. Step 6: Final answer
    x = 198,209.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.