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Finding the Third Proportional to 80,767.13 and 127,028.25

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Solution

The third proportional to 80,767.13 and 127,028.25 is: 199,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,767.13 : 127,028.25 = 127,028.25 : x
  2. Step 2: Convert to fraction form
    80,767.13/127,028.25 = 127,028.25/x
  3. Step 3: Cross multiply
    80,767.13x = 127,028.25 × 127,028.25
  4. Step 4: Simplify right side
    80,767.13x = 16,136,176,298.06
  5. Step 5: Solve for x
    x = 16,136,176,298.06/80,767.13
  6. Step 6: Final answer
    x = 199,786.44

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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.