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Finding the Third Proportional to 80,897.91 and 126,628.31

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Solution

The third proportional to 80,897.91 and 126,628.31 is: 198,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,897.91 : 126,628.31 = 126,628.31 : x
  2. Step 2: Convert to fraction form
    80,897.91/126,628.31 = 126,628.31/x
  3. Step 3: Cross multiply
    80,897.91x = 126,628.31 × 126,628.31
  4. Step 4: Simplify right side
    80,897.91x = 16,034,729,526.60
  5. Step 5: Solve for x
    x = 16,034,729,526.60/80,897.91
  6. Step 6: Final answer
    x = 198,209.45

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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.