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Finding the Third Proportional to 53,813 and 110,002

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Solution

The third proportional to 53,813 and 110,002 is: 224,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813 : 110,002 = 110,002 : x
  2. Step 2: Convert to fraction form
    53,813/110,002 = 110,002/x
  3. Step 3: Cross multiply
    53,813x = 110,002 × 110,002
  4. Step 4: Simplify right side
    53,813x = 12,100,440,004
  5. Step 5: Solve for x
    x = 12,100,440,004/53,813
  6. Step 6: Final answer
    x = 224,860.91

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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.