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Finding the Third Proportional to 51,333.75 and 105,229.13

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Solution

The third proportional to 51,333.75 and 105,229.13 is: 215,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333.75 : 105,229.13 = 105,229.13 : x
  2. Step 2: Convert to fraction form
    51,333.75/105,229.13 = 105,229.13/x
  3. Step 3: Cross multiply
    51,333.75x = 105,229.13 × 105,229.13
  4. Step 4: Simplify right side
    51,333.75x = 11,073,168,748.27
  5. Step 5: Solve for x
    x = 11,073,168,748.27/51,333.75
  6. Step 6: Final answer
    x = 215,709.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.