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Finding the Third Proportional to 53,959.50 and 110,063.25

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Solution

The third proportional to 53,959.50 and 110,063.25 is: 224,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,959.50 : 110,063.25 = 110,063.25 : x
  2. Step 2: Convert to fraction form
    53,959.50/110,063.25 = 110,063.25/x
  3. Step 3: Cross multiply
    53,959.50x = 110,063.25 × 110,063.25
  4. Step 4: Simplify right side
    53,959.50x = 12,113,919,000.56
  5. Step 5: Solve for x
    x = 12,113,919,000.56/53,959.50
  6. Step 6: Final answer
    x = 224,500.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.