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Finding the Third Proportional to 51,705.50 and 108,145.75

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Solution

The third proportional to 51,705.50 and 108,145.75 is: 226,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.50 : 108,145.75 = 108,145.75 : x
  2. Step 2: Convert to fraction form
    51,705.50/108,145.75 = 108,145.75/x
  3. Step 3: Cross multiply
    51,705.50x = 108,145.75 × 108,145.75
  4. Step 4: Simplify right side
    51,705.50x = 11,695,503,243.06
  5. Step 5: Solve for x
    x = 11,695,503,243.06/51,705.50
  6. Step 6: Final answer
    x = 226,194.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.