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Finding the Third Proportional to 51,000.75 and 84,286.13

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Solution

The third proportional to 51,000.75 and 84,286.13 is: 139,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000.75 : 84,286.13 = 84,286.13 : x
  2. Step 2: Convert to fraction form
    51,000.75/84,286.13 = 84,286.13/x
  3. Step 3: Cross multiply
    51,000.75x = 84,286.13 × 84,286.13
  4. Step 4: Simplify right side
    51,000.75x = 7,104,150,867.52
  5. Step 5: Solve for x
    x = 7,104,150,867.52/51,000.75
  6. Step 6: Final answer
    x = 139,295.03

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.