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Finding the Third Proportional to 53,408 and 113,965

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Solution

The third proportional to 53,408 and 113,965 is: 243,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 113,965 = 113,965 : x
  2. Step 2: Convert to fraction form
    53,408/113,965 = 113,965/x
  3. Step 3: Cross multiply
    53,408x = 113,965 × 113,965
  4. Step 4: Simplify right side
    53,408x = 12,988,021,225
  5. Step 5: Solve for x
    x = 12,988,021,225/53,408
  6. Step 6: Final answer
    x = 243,184.94

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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.