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Finding the Third Proportional to 53,947 and 110,035

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Solution

The third proportional to 53,947 and 110,035 is: 224,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947 : 110,035 = 110,035 : x
  2. Step 2: Convert to fraction form
    53,947/110,035 = 110,035/x
  3. Step 3: Cross multiply
    53,947x = 110,035 × 110,035
  4. Step 4: Simplify right side
    53,947x = 12,107,701,225
  5. Step 5: Solve for x
    x = 12,107,701,225/53,947
  6. Step 6: Final answer
    x = 224,436.97

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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.