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Finding the Third Proportional to 51,813.75 and 108,319.50

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Solution

The third proportional to 51,813.75 and 108,319.50 is: 226,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.75 : 108,319.50 = 108,319.50 : x
  2. Step 2: Convert to fraction form
    51,813.75/108,319.50 = 108,319.50/x
  3. Step 3: Cross multiply
    51,813.75x = 108,319.50 × 108,319.50
  4. Step 4: Simplify right side
    51,813.75x = 11,733,114,080.25
  5. Step 5: Solve for x
    x = 11,733,114,080.25/51,813.75
  6. Step 6: Final answer
    x = 226,447.88

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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.