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Finding the Third Proportional to 80,897.63 and 126,628.03

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Solution

The third proportional to 80,897.63 and 126,628.03 is: 198,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,897.63 : 126,628.03 = 126,628.03 : x
  2. Step 2: Convert to fraction form
    80,897.63/126,628.03 = 126,628.03/x
  3. Step 3: Cross multiply
    80,897.63x = 126,628.03 × 126,628.03
  4. Step 4: Simplify right side
    80,897.63x = 16,034,658,298.25
  5. Step 5: Solve for x
    x = 16,034,658,298.25/80,897.63
  6. Step 6: Final answer
    x = 198,209.26

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