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Finding the Third Proportional to 53,104 and 110,500

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Solution

The third proportional to 53,104 and 110,500 is: 229,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104 : 110,500 = 110,500 : x
  2. Step 2: Convert to fraction form
    53,104/110,500 = 110,500/x
  3. Step 3: Cross multiply
    53,104x = 110,500 × 110,500
  4. Step 4: Simplify right side
    53,104x = 12,210,250,000
  5. Step 5: Solve for x
    x = 12,210,250,000/53,104
  6. Step 6: Final answer
    x = 229,930.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.