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Finding the Third Proportional to 53,956 and 110,584

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Solution

The third proportional to 53,956 and 110,584 is: 226,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,956 : 110,584 = 110,584 : x
  2. Step 2: Convert to fraction form
    53,956/110,584 = 110,584/x
  3. Step 3: Cross multiply
    53,956x = 110,584 × 110,584
  4. Step 4: Simplify right side
    53,956x = 12,228,821,056
  5. Step 5: Solve for x
    x = 12,228,821,056/53,956
  6. Step 6: Final answer
    x = 226,644.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.