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Finding the Third Proportional to 53,184 and 113,408

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Solution

The third proportional to 53,184 and 113,408 is: 241,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,184 : 113,408 = 113,408 : x
  2. Step 2: Convert to fraction form
    53,184/113,408 = 113,408/x
  3. Step 3: Cross multiply
    53,184x = 113,408 × 113,408
  4. Step 4: Simplify right side
    53,184x = 12,861,374,464
  5. Step 5: Solve for x
    x = 12,861,374,464/53,184
  6. Step 6: Final answer
    x = 241,827.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.