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Finding the Third Proportional to 80,633.50 and 127,134.25

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Solution

The third proportional to 80,633.50 and 127,134.25 is: 200,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,633.50 : 127,134.25 = 127,134.25 : x
  2. Step 2: Convert to fraction form
    80,633.50/127,134.25 = 127,134.25/x
  3. Step 3: Cross multiply
    80,633.50x = 127,134.25 × 127,134.25
  4. Step 4: Simplify right side
    80,633.50x = 16,163,117,523.06
  5. Step 5: Solve for x
    x = 16,163,117,523.06/80,633.50
  6. Step 6: Final answer
    x = 200,451.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.