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Finding the Third Proportional to 53,353 and 108,241

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Solution

The third proportional to 53,353 and 108,241 is: 219,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,353 : 108,241 = 108,241 : x
  2. Step 2: Convert to fraction form
    53,353/108,241 = 108,241/x
  3. Step 3: Cross multiply
    53,353x = 108,241 × 108,241
  4. Step 4: Simplify right side
    53,353x = 11,716,114,081
  5. Step 5: Solve for x
    x = 11,716,114,081/53,353
  6. Step 6: Final answer
    x = 219,596.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.