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Finding the Third Proportional to 53,860 and 110,408

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Solution

The third proportional to 53,860 and 110,408 is: 226,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,860 : 110,408 = 110,408 : x
  2. Step 2: Convert to fraction form
    53,860/110,408 = 110,408/x
  3. Step 3: Cross multiply
    53,860x = 110,408 × 110,408
  4. Step 4: Simplify right side
    53,860x = 12,189,926,464
  5. Step 5: Solve for x
    x = 12,189,926,464/53,860
  6. Step 6: Final answer
    x = 226,326.15

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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.